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Finding the Fourth Proportional to 5,154.35, 7,732.14 and 1,643.14

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Solution

The fourth proportional to 5,154.35, 7,732.14 and 1,643.14 is: 2,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.35 : 7,732.14 = 1,643.14 : x
  2. Step 2: Convert to fraction form
    5,154.35/7,732.14 = 1,643.14/x
  3. Step 3: Cross multiply
    5,154.35x = 7,732.14 × 1,643.14
  4. Step 4: Simplify right side
    5,154.35x = 12,704,988.52
  5. Step 5: Solve for x
    x = 12,704,988.52/5,154.35
  6. Step 6: Final answer
    x = 2,464.91

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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.