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Finding the Fourth Proportional to 5,709.06, 8,564.13 and 2,245.50

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Solution

The fourth proportional to 5,709.06, 8,564.13 and 2,245.50 is: 3,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.06 : 8,564.13 = 2,245.50 : x
  2. Step 2: Convert to fraction form
    5,709.06/8,564.13 = 2,245.50/x
  3. Step 3: Cross multiply
    5,709.06x = 8,564.13 × 2,245.50
  4. Step 4: Simplify right side
    5,709.06x = 19,230,753.92
  5. Step 5: Solve for x
    x = 19,230,753.92/5,709.06
  6. Step 6: Final answer
    x = 3,368.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.