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Finding the Fourth Proportional to 4,874.66, 6,695.60 and 4,781.27

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Solution

The fourth proportional to 4,874.66, 6,695.60 and 4,781.27 is: 6,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.66 : 6,695.60 = 4,781.27 : x
  2. Step 2: Convert to fraction form
    4,874.66/6,695.60 = 4,781.27/x
  3. Step 3: Cross multiply
    4,874.66x = 6,695.60 × 4,781.27
  4. Step 4: Simplify right side
    4,874.66x = 32,013,471.41
  5. Step 5: Solve for x
    x = 32,013,471.41/4,874.66
  6. Step 6: Final answer
    x = 6,567.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.