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Finding the Fourth Proportional to 3,537.52, 4,885.31 and 2,914.22

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Solution

The fourth proportional to 3,537.52, 4,885.31 and 2,914.22 is: 4,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.52 : 4,885.31 = 2,914.22 : x
  2. Step 2: Convert to fraction form
    3,537.52/4,885.31 = 2,914.22/x
  3. Step 3: Cross multiply
    3,537.52x = 4,885.31 × 2,914.22
  4. Step 4: Simplify right side
    3,537.52x = 14,236,887.61
  5. Step 5: Solve for x
    x = 14,236,887.61/3,537.52
  6. Step 6: Final answer
    x = 4,024.54

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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.