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Finding the Fourth Proportional to 5,159.52, 7,741.71 and 2,562.12

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Solution

The fourth proportional to 5,159.52, 7,741.71 and 2,562.12 is: 3,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.52 : 7,741.71 = 2,562.12 : x
  2. Step 2: Convert to fraction form
    5,159.52/7,741.71 = 2,562.12/x
  3. Step 3: Cross multiply
    5,159.52x = 7,741.71 × 2,562.12
  4. Step 4: Simplify right side
    5,159.52x = 19,835,190.03
  5. Step 5: Solve for x
    x = 19,835,190.03/5,159.52
  6. Step 6: Final answer
    x = 3,844.39

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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.