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Finding the Fourth Proportional to 3,512.71, 5,269.38 and 915.67

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Solution

The fourth proportional to 3,512.71, 5,269.38 and 915.67 is: 1,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.71 : 5,269.38 = 915.67 : x
  2. Step 2: Convert to fraction form
    3,512.71/5,269.38 = 915.67/x
  3. Step 3: Cross multiply
    3,512.71x = 5,269.38 × 915.67
  4. Step 4: Simplify right side
    3,512.71x = 4,825,013.18
  5. Step 5: Solve for x
    x = 4,825,013.18/3,512.71
  6. Step 6: Final answer
    x = 1,373.59

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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.