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Finding the Fourth Proportional to 3,597.66, 4,966.92 and 2,601.90

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Solution

The fourth proportional to 3,597.66, 4,966.92 and 2,601.90 is: 3,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.66 : 4,966.92 = 2,601.90 : x
  2. Step 2: Convert to fraction form
    3,597.66/4,966.92 = 2,601.90/x
  3. Step 3: Cross multiply
    3,597.66x = 4,966.92 × 2,601.90
  4. Step 4: Simplify right side
    3,597.66x = 12,923,429.15
  5. Step 5: Solve for x
    x = 12,923,429.15/3,597.66
  6. Step 6: Final answer
    x = 3,592.18

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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.