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Finding the Fourth Proportional to 6,106.52, 8,421.72 and 3,865.88

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Solution

The fourth proportional to 6,106.52, 8,421.72 and 3,865.88 is: 5,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.52 : 8,421.72 = 3,865.88 : x
  2. Step 2: Convert to fraction form
    6,106.52/8,421.72 = 3,865.88/x
  3. Step 3: Cross multiply
    6,106.52x = 8,421.72 × 3,865.88
  4. Step 4: Simplify right side
    6,106.52x = 32,557,358.91
  5. Step 5: Solve for x
    x = 32,557,358.91/6,106.52
  6. Step 6: Final answer
    x = 5,331.57

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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.