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Finding the Fourth Proportional to 5,178.72, 7,755.66 and 4,556.10

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Solution

The fourth proportional to 5,178.72, 7,755.66 and 4,556.10 is: 6,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.72 : 7,755.66 = 4,556.10 : x
  2. Step 2: Convert to fraction form
    5,178.72/7,755.66 = 4,556.10/x
  3. Step 3: Cross multiply
    5,178.72x = 7,755.66 × 4,556.10
  4. Step 4: Simplify right side
    5,178.72x = 35,335,562.53
  5. Step 5: Solve for x
    x = 35,335,562.53/5,178.72
  6. Step 6: Final answer
    x = 6,823.22

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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.