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Finding the Fourth Proportional to 3,862.74, 5,330.49 and 2,349.74

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Solution

The fourth proportional to 3,862.74, 5,330.49 and 2,349.74 is: 3,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.74 : 5,330.49 = 2,349.74 : x
  2. Step 2: Convert to fraction form
    3,862.74/5,330.49 = 2,349.74/x
  3. Step 3: Cross multiply
    3,862.74x = 5,330.49 × 2,349.74
  4. Step 4: Simplify right side
    3,862.74x = 12,525,250.10
  5. Step 5: Solve for x
    x = 12,525,250.10/3,862.74
  6. Step 6: Final answer
    x = 3,242.58

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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.