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Finding the Fourth Proportional to 5,308.52, 7,948.20 and 4,006.04

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Solution

The fourth proportional to 5,308.52, 7,948.20 and 4,006.04 is: 5,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.52 : 7,948.20 = 4,006.04 : x
  2. Step 2: Convert to fraction form
    5,308.52/7,948.20 = 4,006.04/x
  3. Step 3: Cross multiply
    5,308.52x = 7,948.20 × 4,006.04
  4. Step 4: Simplify right side
    5,308.52x = 31,840,807.13
  5. Step 5: Solve for x
    x = 31,840,807.13/5,308.52
  6. Step 6: Final answer
    x = 5,998.06

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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.