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Finding the Fourth Proportional to 4,924.78, 7,387.92 and 1,637.14

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Solution

The fourth proportional to 4,924.78, 7,387.92 and 1,637.14 is: 2,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.78 : 7,387.92 = 1,637.14 : x
  2. Step 2: Convert to fraction form
    4,924.78/7,387.92 = 1,637.14/x
  3. Step 3: Cross multiply
    4,924.78x = 7,387.92 × 1,637.14
  4. Step 4: Simplify right side
    4,924.78x = 12,095,059.35
  5. Step 5: Solve for x
    x = 12,095,059.35/4,924.78
  6. Step 6: Final answer
    x = 2,455.96

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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.