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Finding the Fourth Proportional to 3,639.16, 5,458.72 and 1,042.10

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Solution

The fourth proportional to 3,639.16, 5,458.72 and 1,042.10 is: 1,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.16 : 5,458.72 = 1,042.10 : x
  2. Step 2: Convert to fraction form
    3,639.16/5,458.72 = 1,042.10/x
  3. Step 3: Cross multiply
    3,639.16x = 5,458.72 × 1,042.10
  4. Step 4: Simplify right side
    3,639.16x = 5,688,499.61
  5. Step 5: Solve for x
    x = 5,688,499.61/3,639.16
  6. Step 6: Final answer
    x = 1,563.14

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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.