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Finding the Fourth Proportional to 5,490.75, 7,577.23 and 2,972.86

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Solution

The fourth proportional to 5,490.75, 7,577.23 and 2,972.86 is: 4,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.75 : 7,577.23 = 2,972.86 : x
  2. Step 2: Convert to fraction form
    5,490.75/7,577.23 = 2,972.86/x
  3. Step 3: Cross multiply
    5,490.75x = 7,577.23 × 2,972.86
  4. Step 4: Simplify right side
    5,490.75x = 22,526,064.54
  5. Step 5: Solve for x
    x = 22,526,064.54/5,490.75
  6. Step 6: Final answer
    x = 4,102.55

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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.