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Finding the Fourth Proportional to 6,521.60, 9,002.40 and 4,167.20

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Solution

The fourth proportional to 6,521.60, 9,002.40 and 4,167.20 is: 5,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.60 : 9,002.40 = 4,167.20 : x
  2. Step 2: Convert to fraction form
    6,521.60/9,002.40 = 4,167.20/x
  3. Step 3: Cross multiply
    6,521.60x = 9,002.40 × 4,167.20
  4. Step 4: Simplify right side
    6,521.60x = 37,514,801.28
  5. Step 5: Solve for x
    x = 37,514,801.28/6,521.60
  6. Step 6: Final answer
    x = 5,752.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.