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Finding the Fourth Proportional to 3,874.59, 5,348.33 and 2,302.70

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Solution

The fourth proportional to 3,874.59, 5,348.33 and 2,302.70 is: 3,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.59 : 5,348.33 = 2,302.70 : x
  2. Step 2: Convert to fraction form
    3,874.59/5,348.33 = 2,302.70/x
  3. Step 3: Cross multiply
    3,874.59x = 5,348.33 × 2,302.70
  4. Step 4: Simplify right side
    3,874.59x = 12,315,561.24
  5. Step 5: Solve for x
    x = 12,315,561.24/3,874.59
  6. Step 6: Final answer
    x = 3,178.55

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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.