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Finding the Fourth Proportional to 3,508.70, 4,842.32 and 2,448

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Solution

The fourth proportional to 3,508.70, 4,842.32 and 2,448 is: 3,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.70 : 4,842.32 = 2,448 : x
  2. Step 2: Convert to fraction form
    3,508.70/4,842.32 = 2,448/x
  3. Step 3: Cross multiply
    3,508.70x = 4,842.32 × 2,448
  4. Step 4: Simplify right side
    3,508.70x = 11,853,987.12
  5. Step 5: Solve for x
    x = 11,853,987.12/3,508.70
  6. Step 6: Final answer
    x = 3,378.46

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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.