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Finding the Fourth Proportional to 4,298.16, 6,437.49 and 3,520.56

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Solution

The fourth proportional to 4,298.16, 6,437.49 and 3,520.56 is: 5,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.16 : 6,437.49 = 3,520.56 : x
  2. Step 2: Convert to fraction form
    4,298.16/6,437.49 = 3,520.56/x
  3. Step 3: Cross multiply
    4,298.16x = 6,437.49 × 3,520.56
  4. Step 4: Simplify right side
    4,298.16x = 22,663,569.79
  5. Step 5: Solve for x
    x = 22,663,569.79/4,298.16
  6. Step 6: Final answer
    x = 5,272.85

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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.