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Finding the Fourth Proportional to 8,390.55, 12,576.47 and 3,454.23

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Solution

The fourth proportional to 8,390.55, 12,576.47 and 3,454.23 is: 5,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.55 : 12,576.47 = 3,454.23 : x
  2. Step 2: Convert to fraction form
    8,390.55/12,576.47 = 3,454.23/x
  3. Step 3: Cross multiply
    8,390.55x = 12,576.47 × 3,454.23
  4. Step 4: Simplify right side
    8,390.55x = 43,442,002.70
  5. Step 5: Solve for x
    x = 43,442,002.70/8,390.55
  6. Step 6: Final answer
    x = 5,177.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.