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Finding the Fourth Proportional to 4,096.59, 6,140.02 and 2,248.57

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Solution

The fourth proportional to 4,096.59, 6,140.02 and 2,248.57 is: 3,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.59 : 6,140.02 = 2,248.57 : x
  2. Step 2: Convert to fraction form
    4,096.59/6,140.02 = 2,248.57/x
  3. Step 3: Cross multiply
    4,096.59x = 6,140.02 × 2,248.57
  4. Step 4: Simplify right side
    4,096.59x = 13,806,264.77
  5. Step 5: Solve for x
    x = 13,806,264.77/4,096.59
  6. Step 6: Final answer
    x = 3,370.18

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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.