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Finding the Fourth Proportional to 3,898.32, 5,381.20 and 2,638.76

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Solution

The fourth proportional to 3,898.32, 5,381.20 and 2,638.76 is: 3,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.32 : 5,381.20 = 2,638.76 : x
  2. Step 2: Convert to fraction form
    3,898.32/5,381.20 = 2,638.76/x
  3. Step 3: Cross multiply
    3,898.32x = 5,381.20 × 2,638.76
  4. Step 4: Simplify right side
    3,898.32x = 14,199,695.31
  5. Step 5: Solve for x
    x = 14,199,695.31/3,898.32
  6. Step 6: Final answer
    x = 3,642.52

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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.