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Finding the Fourth Proportional to 4,132.66, 5,704.18 and 2,559.88

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Solution

The fourth proportional to 4,132.66, 5,704.18 and 2,559.88 is: 3,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.66 : 5,704.18 = 2,559.88 : x
  2. Step 2: Convert to fraction form
    4,132.66/5,704.18 = 2,559.88/x
  3. Step 3: Cross multiply
    4,132.66x = 5,704.18 × 2,559.88
  4. Step 4: Simplify right side
    4,132.66x = 14,602,016.30
  5. Step 5: Solve for x
    x = 14,602,016.30/4,132.66
  6. Step 6: Final answer
    x = 3,533.32

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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.