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Finding the Fourth Proportional to 3,731.80, 5,150.28 and 2,159.80

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Solution

The fourth proportional to 3,731.80, 5,150.28 and 2,159.80 is: 2,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.80 : 5,150.28 = 2,159.80 : x
  2. Step 2: Convert to fraction form
    3,731.80/5,150.28 = 2,159.80/x
  3. Step 3: Cross multiply
    3,731.80x = 5,150.28 × 2,159.80
  4. Step 4: Simplify right side
    3,731.80x = 11,123,574.74
  5. Step 5: Solve for x
    x = 11,123,574.74/3,731.80
  6. Step 6: Final answer
    x = 2,980.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.