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Finding the Fourth Proportional to 5,490.62, 7,561.86 and 4,744.34

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Solution

The fourth proportional to 5,490.62, 7,561.86 and 4,744.34 is: 6,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.62 : 7,561.86 = 4,744.34 : x
  2. Step 2: Convert to fraction form
    5,490.62/7,561.86 = 4,744.34/x
  3. Step 3: Cross multiply
    5,490.62x = 7,561.86 × 4,744.34
  4. Step 4: Simplify right side
    5,490.62x = 35,876,034.87
  5. Step 5: Solve for x
    x = 35,876,034.87/5,490.62
  6. Step 6: Final answer
    x = 6,534.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.