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Finding the Fourth Proportional to 3,512.89, 5,269.34 and 915.63

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Solution

The fourth proportional to 3,512.89, 5,269.34 and 915.63 is: 1,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.89 : 5,269.34 = 915.63 : x
  2. Step 2: Convert to fraction form
    3,512.89/5,269.34 = 915.63/x
  3. Step 3: Cross multiply
    3,512.89x = 5,269.34 × 915.63
  4. Step 4: Simplify right side
    3,512.89x = 4,824,765.78
  5. Step 5: Solve for x
    x = 4,824,765.78/3,512.89
  6. Step 6: Final answer
    x = 1,373.45

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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.