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Finding the Fourth Proportional to 6,121.71, 8,452.02 and 4,702.86

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Solution

The fourth proportional to 6,121.71, 8,452.02 and 4,702.86 is: 6,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.71 : 8,452.02 = 4,702.86 : x
  2. Step 2: Convert to fraction form
    6,121.71/8,452.02 = 4,702.86/x
  3. Step 3: Cross multiply
    6,121.71x = 8,452.02 × 4,702.86
  4. Step 4: Simplify right side
    6,121.71x = 39,748,666.78
  5. Step 5: Solve for x
    x = 39,748,666.78/6,121.71
  6. Step 6: Final answer
    x = 6,493.07

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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.