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Finding the Fourth Proportional to 3,464.47, 5,192.17 and 3,024.61

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Solution

The fourth proportional to 3,464.47, 5,192.17 and 3,024.61 is: 4,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.47 : 5,192.17 = 3,024.61 : x
  2. Step 2: Convert to fraction form
    3,464.47/5,192.17 = 3,024.61/x
  3. Step 3: Cross multiply
    3,464.47x = 5,192.17 × 3,024.61
  4. Step 4: Simplify right side
    3,464.47x = 15,704,268.76
  5. Step 5: Solve for x
    x = 15,704,268.76/3,464.47
  6. Step 6: Final answer
    x = 4,532.95

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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.