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Finding the Fourth Proportional to 6,592.31, 9,891.06 and 2,891.96

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Solution

The fourth proportional to 6,592.31, 9,891.06 and 2,891.96 is: 4,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.31 : 9,891.06 = 2,891.96 : x
  2. Step 2: Convert to fraction form
    6,592.31/9,891.06 = 2,891.96/x
  3. Step 3: Cross multiply
    6,592.31x = 9,891.06 × 2,891.96
  4. Step 4: Simplify right side
    6,592.31x = 28,604,549.88
  5. Step 5: Solve for x
    x = 28,604,549.88/6,592.31
  6. Step 6: Final answer
    x = 4,339.08

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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.