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Finding the Fourth Proportional to 5,854.14, 8,778.02 and 2,342.30

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Solution

The fourth proportional to 5,854.14, 8,778.02 and 2,342.30 is: 3,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.14 : 8,778.02 = 2,342.30 : x
  2. Step 2: Convert to fraction form
    5,854.14/8,778.02 = 2,342.30/x
  3. Step 3: Cross multiply
    5,854.14x = 8,778.02 × 2,342.30
  4. Step 4: Simplify right side
    5,854.14x = 20,560,700.64
  5. Step 5: Solve for x
    x = 20,560,700.64/5,854.14
  6. Step 6: Final answer
    x = 3,512.16

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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.