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Finding the Fourth Proportional to 4,151.68, 5,729.30 and 2,288.68

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Solution

The fourth proportional to 4,151.68, 5,729.30 and 2,288.68 is: 3,158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.68 : 5,729.30 = 2,288.68 : x
  2. Step 2: Convert to fraction form
    4,151.68/5,729.30 = 2,288.68/x
  3. Step 3: Cross multiply
    4,151.68x = 5,729.30 × 2,288.68
  4. Step 4: Simplify right side
    4,151.68x = 13,112,534.32
  5. Step 5: Solve for x
    x = 13,112,534.32/4,151.68
  6. Step 6: Final answer
    x = 3,158.37

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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.