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Finding the Fourth Proportional to 3,397.35, 5,096.57 and 1,549.11

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Solution

The fourth proportional to 3,397.35, 5,096.57 and 1,549.11 is: 2,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.35 : 5,096.57 = 1,549.11 : x
  2. Step 2: Convert to fraction form
    3,397.35/5,096.57 = 1,549.11/x
  3. Step 3: Cross multiply
    3,397.35x = 5,096.57 × 1,549.11
  4. Step 4: Simplify right side
    3,397.35x = 7,895,139.81
  5. Step 5: Solve for x
    x = 7,895,139.81/3,397.35
  6. Step 6: Final answer
    x = 2,323.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.