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Finding the Fourth Proportional to 3,376.71, 4,658.54 and 2,258.38

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Solution

The fourth proportional to 3,376.71, 4,658.54 and 2,258.38 is: 3,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.71 : 4,658.54 = 2,258.38 : x
  2. Step 2: Convert to fraction form
    3,376.71/4,658.54 = 2,258.38/x
  3. Step 3: Cross multiply
    3,376.71x = 4,658.54 × 2,258.38
  4. Step 4: Simplify right side
    3,376.71x = 10,520,754.45
  5. Step 5: Solve for x
    x = 10,520,754.45/3,376.71
  6. Step 6: Final answer
    x = 3,115.68

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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.