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Finding the Fourth Proportional to 4,151.56, 5,728.62 and 2,659.62

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Solution

The fourth proportional to 4,151.56, 5,728.62 and 2,659.62 is: 3,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.56 : 5,728.62 = 2,659.62 : x
  2. Step 2: Convert to fraction form
    4,151.56/5,728.62 = 2,659.62/x
  3. Step 3: Cross multiply
    4,151.56x = 5,728.62 × 2,659.62
  4. Step 4: Simplify right side
    4,151.56x = 15,235,952.32
  5. Step 5: Solve for x
    x = 15,235,952.32/4,151.56
  6. Step 6: Final answer
    x = 3,669.93

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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.