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Finding the Fourth Proportional to 4,169.81, 5,754.34 and 2,597.91

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Solution

The fourth proportional to 4,169.81, 5,754.34 and 2,597.91 is: 3,585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.81 : 5,754.34 = 2,597.91 : x
  2. Step 2: Convert to fraction form
    4,169.81/5,754.34 = 2,597.91/x
  3. Step 3: Cross multiply
    4,169.81x = 5,754.34 × 2,597.91
  4. Step 4: Simplify right side
    4,169.81x = 14,949,239.10
  5. Step 5: Solve for x
    x = 14,949,239.10/4,169.81
  6. Step 6: Final answer
    x = 3,585.11

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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.