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Finding the Fourth Proportional to 4,132.65, 5,704.17 and 2,559.87

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Solution

The fourth proportional to 4,132.65, 5,704.17 and 2,559.87 is: 3,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.65 : 5,704.17 = 2,559.87 : x
  2. Step 2: Convert to fraction form
    4,132.65/5,704.17 = 2,559.87/x
  3. Step 3: Cross multiply
    4,132.65x = 5,704.17 × 2,559.87
  4. Step 4: Simplify right side
    4,132.65x = 14,601,933.66
  5. Step 5: Solve for x
    x = 14,601,933.66/4,132.65
  6. Step 6: Final answer
    x = 3,533.31

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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.