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Finding the Fourth Proportional to 3,720.48, 5,134.32 and 2,148.80

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Solution

The fourth proportional to 3,720.48, 5,134.32 and 2,148.80 is: 2,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.48 : 5,134.32 = 2,148.80 : x
  2. Step 2: Convert to fraction form
    3,720.48/5,134.32 = 2,148.80/x
  3. Step 3: Cross multiply
    3,720.48x = 5,134.32 × 2,148.80
  4. Step 4: Simplify right side
    3,720.48x = 11,032,626.82
  5. Step 5: Solve for x
    x = 11,032,626.82/3,720.48
  6. Step 6: Final answer
    x = 2,965.38

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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.