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Finding the Fourth Proportional to 4,874.72, 7,310.54 and 1,587.06

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Solution

The fourth proportional to 4,874.72, 7,310.54 and 1,587.06 is: 2,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.72 : 7,310.54 = 1,587.06 : x
  2. Step 2: Convert to fraction form
    4,874.72/7,310.54 = 1,587.06/x
  3. Step 3: Cross multiply
    4,874.72x = 7,310.54 × 1,587.06
  4. Step 4: Simplify right side
    4,874.72x = 11,602,265.61
  5. Step 5: Solve for x
    x = 11,602,265.61/4,874.72
  6. Step 6: Final answer
    x = 2,380.09

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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.