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Finding the Fourth Proportional to 5,677.48, 7,834.62 and 3,159.46

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Solution

The fourth proportional to 5,677.48, 7,834.62 and 3,159.46 is: 4,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.48 : 7,834.62 = 3,159.46 : x
  2. Step 2: Convert to fraction form
    5,677.48/7,834.62 = 3,159.46/x
  3. Step 3: Cross multiply
    5,677.48x = 7,834.62 × 3,159.46
  4. Step 4: Simplify right side
    5,677.48x = 24,753,168.51
  5. Step 5: Solve for x
    x = 24,753,168.51/5,677.48
  6. Step 6: Final answer
    x = 4,359.89

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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.