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Finding the Fourth Proportional to 4,171.59, 5,756.94 and 2,599.38

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Solution

The fourth proportional to 4,171.59, 5,756.94 and 2,599.38 is: 3,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.59 : 5,756.94 = 2,599.38 : x
  2. Step 2: Convert to fraction form
    4,171.59/5,756.94 = 2,599.38/x
  3. Step 3: Cross multiply
    4,171.59x = 5,756.94 × 2,599.38
  4. Step 4: Simplify right side
    4,171.59x = 14,964,474.70
  5. Step 5: Solve for x
    x = 14,964,474.70/4,171.59
  6. Step 6: Final answer
    x = 3,587.24

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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.