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Finding the Fourth Proportional to 3,874.02, 5,347.80 and 2,302.62

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Solution

The fourth proportional to 3,874.02, 5,347.80 and 2,302.62 is: 3,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.02 : 5,347.80 = 2,302.62 : x
  2. Step 2: Convert to fraction form
    3,874.02/5,347.80 = 2,302.62/x
  3. Step 3: Cross multiply
    3,874.02x = 5,347.80 × 2,302.62
  4. Step 4: Simplify right side
    3,874.02x = 12,313,951.24
  5. Step 5: Solve for x
    x = 12,313,951.24/3,874.02
  6. Step 6: Final answer
    x = 3,178.60

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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.