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Finding the Fourth Proportional to 3,913.58, 5,862.56 and 2,352.74

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Solution

The fourth proportional to 3,913.58, 5,862.56 and 2,352.74 is: 3,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.58 : 5,862.56 = 2,352.74 : x
  2. Step 2: Convert to fraction form
    3,913.58/5,862.56 = 2,352.74/x
  3. Step 3: Cross multiply
    3,913.58x = 5,862.56 × 2,352.74
  4. Step 4: Simplify right side
    3,913.58x = 13,793,082.31
  5. Step 5: Solve for x
    x = 13,793,082.31/3,913.58
  6. Step 6: Final answer
    x = 3,524.41

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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.