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Finding the Fourth Proportional to 3,854.88, 5,775.36 and 3,242.40

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Solution

The fourth proportional to 3,854.88, 5,775.36 and 3,242.40 is: 4,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.88 : 5,775.36 = 3,242.40 : x
  2. Step 2: Convert to fraction form
    3,854.88/5,775.36 = 3,242.40/x
  3. Step 3: Cross multiply
    3,854.88x = 5,775.36 × 3,242.40
  4. Step 4: Simplify right side
    3,854.88x = 18,726,027.26
  5. Step 5: Solve for x
    x = 18,726,027.26/3,854.88
  6. Step 6: Final answer
    x = 4,857.75

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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.