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Finding the Fourth Proportional to 5,214.78, 7,781.00 and 4,722.30

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Solution

The fourth proportional to 5,214.78, 7,781.00 and 4,722.30 is: 7,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.78 : 7,781.00 = 4,722.30 : x
  2. Step 2: Convert to fraction form
    5,214.78/7,781.00 = 4,722.30/x
  3. Step 3: Cross multiply
    5,214.78x = 7,781.00 × 4,722.30
  4. Step 4: Simplify right side
    5,214.78x = 36,744,192.69
  5. Step 5: Solve for x
    x = 36,744,192.69/5,214.78
  6. Step 6: Final answer
    x = 7,046.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.