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Finding the Fourth Proportional to 5,842.91, 8,757.88 and 2,332

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Solution

The fourth proportional to 5,842.91, 8,757.88 and 2,332 is: 3,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.91 : 8,757.88 = 2,332 : x
  2. Step 2: Convert to fraction form
    5,842.91/8,757.88 = 2,332/x
  3. Step 3: Cross multiply
    5,842.91x = 8,757.88 × 2,332
  4. Step 4: Simplify right side
    5,842.91x = 20,423,376.16
  5. Step 5: Solve for x
    x = 20,423,376.16/5,842.91
  6. Step 6: Final answer
    x = 3,495.41

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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.