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Finding the Fourth Proportional to 4,704.24, 6,494.25 and 3,639.62

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Solution

The fourth proportional to 4,704.24, 6,494.25 and 3,639.62 is: 5,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.24 : 6,494.25 = 3,639.62 : x
  2. Step 2: Convert to fraction form
    4,704.24/6,494.25 = 3,639.62/x
  3. Step 3: Cross multiply
    4,704.24x = 6,494.25 × 3,639.62
  4. Step 4: Simplify right side
    4,704.24x = 23,636,569.71
  5. Step 5: Solve for x
    x = 23,636,569.71/4,704.24
  6. Step 6: Final answer
    x = 5,024.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.