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Finding the Fourth Proportional to 3,129.56, 4,688.13 and 2,086.46

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Solution

The fourth proportional to 3,129.56, 4,688.13 and 2,086.46 is: 3,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.56 : 4,688.13 = 2,086.46 : x
  2. Step 2: Convert to fraction form
    3,129.56/4,688.13 = 2,086.46/x
  3. Step 3: Cross multiply
    3,129.56x = 4,688.13 × 2,086.46
  4. Step 4: Simplify right side
    3,129.56x = 9,781,595.72
  5. Step 5: Solve for x
    x = 9,781,595.72/3,129.56
  6. Step 6: Final answer
    x = 3,125.55

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