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Finding the Fourth Proportional to 4,677.48, 7,013.78 and 4,144.54

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Solution

The fourth proportional to 4,677.48, 7,013.78 and 4,144.54 is: 6,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.48 : 7,013.78 = 4,144.54 : x
  2. Step 2: Convert to fraction form
    4,677.48/7,013.78 = 4,144.54/x
  3. Step 3: Cross multiply
    4,677.48x = 7,013.78 × 4,144.54
  4. Step 4: Simplify right side
    4,677.48x = 29,068,891.76
  5. Step 5: Solve for x
    x = 29,068,891.76/4,677.48
  6. Step 6: Final answer
    x = 6,214.65

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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.