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Finding the Fourth Proportional to 5,139.96, 7,712.50 and 2,368.59

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Solution

The fourth proportional to 5,139.96, 7,712.50 and 2,368.59 is: 3,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.96 : 7,712.50 = 2,368.59 : x
  2. Step 2: Convert to fraction form
    5,139.96/7,712.50 = 2,368.59/x
  3. Step 3: Cross multiply
    5,139.96x = 7,712.50 × 2,368.59
  4. Step 4: Simplify right side
    5,139.96x = 18,267,709.55
  5. Step 5: Solve for x
    x = 18,267,709.55/5,139.96
  6. Step 6: Final answer
    x = 3,554.05

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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.