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Finding the Fourth Proportional to 6,592.08, 9,100.02 and 4,205.27

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Solution

The fourth proportional to 6,592.08, 9,100.02 and 4,205.27 is: 5,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.08 : 9,100.02 = 4,205.27 : x
  2. Step 2: Convert to fraction form
    6,592.08/9,100.02 = 4,205.27/x
  3. Step 3: Cross multiply
    6,592.08x = 9,100.02 × 4,205.27
  4. Step 4: Simplify right side
    6,592.08x = 38,267,995.61
  5. Step 5: Solve for x
    x = 38,267,995.61/6,592.08
  6. Step 6: Final answer
    x = 5,805.15

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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.