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Finding the Fourth Proportional to 5,490.46, 7,577.04 and 3,132.82

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Solution

The fourth proportional to 5,490.46, 7,577.04 and 3,132.82 is: 4,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.46 : 7,577.04 = 3,132.82 : x
  2. Step 2: Convert to fraction form
    5,490.46/7,577.04 = 3,132.82/x
  3. Step 3: Cross multiply
    5,490.46x = 7,577.04 × 3,132.82
  4. Step 4: Simplify right side
    5,490.46x = 23,737,502.45
  5. Step 5: Solve for x
    x = 23,737,502.45/5,490.46
  6. Step 6: Final answer
    x = 4,323.41

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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.