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Finding the Fourth Proportional to 4,522.92, 6,781.14 and 1,924.44

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Solution

The fourth proportional to 4,522.92, 6,781.14 and 1,924.44 is: 2,885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.92 : 6,781.14 = 1,924.44 : x
  2. Step 2: Convert to fraction form
    4,522.92/6,781.14 = 1,924.44/x
  3. Step 3: Cross multiply
    4,522.92x = 6,781.14 × 1,924.44
  4. Step 4: Simplify right side
    4,522.92x = 13,049,897.06
  5. Step 5: Solve for x
    x = 13,049,897.06/4,522.92
  6. Step 6: Final answer
    x = 2,885.28

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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.