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Finding the Fourth Proportional to 4,171.84, 5,758.13 and 2,494

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Solution

The fourth proportional to 4,171.84, 5,758.13 and 2,494 is: 3,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.84 : 5,758.13 = 2,494 : x
  2. Step 2: Convert to fraction form
    4,171.84/5,758.13 = 2,494/x
  3. Step 3: Cross multiply
    4,171.84x = 5,758.13 × 2,494
  4. Step 4: Simplify right side
    4,171.84x = 14,360,776.22
  5. Step 5: Solve for x
    x = 14,360,776.22/4,171.84
  6. Step 6: Final answer
    x = 3,442.31

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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.