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Finding the Fourth Proportional to 5,642.98, 8,463.11 and 2,354.29

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Solution

The fourth proportional to 5,642.98, 8,463.11 and 2,354.29 is: 3,530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.98 : 8,463.11 = 2,354.29 : x
  2. Step 2: Convert to fraction form
    5,642.98/8,463.11 = 2,354.29/x
  3. Step 3: Cross multiply
    5,642.98x = 8,463.11 × 2,354.29
  4. Step 4: Simplify right side
    5,642.98x = 19,924,582.31
  5. Step 5: Solve for x
    x = 19,924,582.31/5,642.98
  6. Step 6: Final answer
    x = 3,530.86

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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.