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Finding the Fourth Proportional to 5,345.84, 8,001.48 and 3,149.12

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Solution

The fourth proportional to 5,345.84, 8,001.48 and 3,149.12 is: 4,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345.84 : 8,001.48 = 3,149.12 : x
  2. Step 2: Convert to fraction form
    5,345.84/8,001.48 = 3,149.12/x
  3. Step 3: Cross multiply
    5,345.84x = 8,001.48 × 3,149.12
  4. Step 4: Simplify right side
    5,345.84x = 25,197,620.70
  5. Step 5: Solve for x
    x = 25,197,620.70/5,345.84
  6. Step 6: Final answer
    x = 4,713.50

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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.