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Finding the Fourth Proportional to 3,129.60, 4,310.10 and 3,061.56

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Solution

The fourth proportional to 3,129.60, 4,310.10 and 3,061.56 is: 4,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.60 : 4,310.10 = 3,061.56 : x
  2. Step 2: Convert to fraction form
    3,129.60/4,310.10 = 3,061.56/x
  3. Step 3: Cross multiply
    3,129.60x = 4,310.10 × 3,061.56
  4. Step 4: Simplify right side
    3,129.60x = 13,195,629.76
  5. Step 5: Solve for x
    x = 13,195,629.76/3,129.60
  6. Step 6: Final answer
    x = 4,216.39

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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.