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Finding the Fourth Proportional to 5,298.29, 7,947.50 and 1,600.56

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Solution

The fourth proportional to 5,298.29, 7,947.50 and 1,600.56 is: 2,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.29 : 7,947.50 = 1,600.56 : x
  2. Step 2: Convert to fraction form
    5,298.29/7,947.50 = 1,600.56/x
  3. Step 3: Cross multiply
    5,298.29x = 7,947.50 × 1,600.56
  4. Step 4: Simplify right side
    5,298.29x = 12,720,454.60
  5. Step 5: Solve for x
    x = 12,720,454.60/5,298.29
  6. Step 6: Final answer
    x = 2,400.86

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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.