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Finding the Fourth Proportional to 5,702,710.56, 7,869,740.40 and 3,124,488.96

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Solution

The fourth proportional to 5,702,710.56, 7,869,740.40 and 3,124,488.96 is: 4,311,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702,710.56 : 7,869,740.40 = 3,124,488.96 : x
  2. Step 2: Convert to fraction form
    5,702,710.56/7,869,740.40 = 3,124,488.96/x
  3. Step 3: Cross multiply
    5,702,710.56x = 7,869,740.40 × 3,124,488.96
  4. Step 4: Simplify right side
    5,702,710.56x = 24,588,916,997,865.98
  5. Step 5: Solve for x
    x = 24,588,916,997,865.98/5,702,710.56
  6. Step 6: Final answer
    x = 4,311,794.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.