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Finding the Fourth Proportional to 3,132.88, 4,699.32 and 2,771.20

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Solution

The fourth proportional to 3,132.88, 4,699.32 and 2,771.20 is: 4,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.88 : 4,699.32 = 2,771.20 : x
  2. Step 2: Convert to fraction form
    3,132.88/4,699.32 = 2,771.20/x
  3. Step 3: Cross multiply
    3,132.88x = 4,699.32 × 2,771.20
  4. Step 4: Simplify right side
    3,132.88x = 13,022,755.58
  5. Step 5: Solve for x
    x = 13,022,755.58/3,132.88
  6. Step 6: Final answer
    x = 4,156.80

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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.