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Finding the Fourth Proportional to 3,512.48, 5,269.70 and 1,047.28

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Solution

The fourth proportional to 3,512.48, 5,269.70 and 1,047.28 is: 1,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.48 : 5,269.70 = 1,047.28 : x
  2. Step 2: Convert to fraction form
    3,512.48/5,269.70 = 1,047.28/x
  3. Step 3: Cross multiply
    3,512.48x = 5,269.70 × 1,047.28
  4. Step 4: Simplify right side
    3,512.48x = 5,518,851.42
  5. Step 5: Solve for x
    x = 5,518,851.42/3,512.48
  6. Step 6: Final answer
    x = 1,571.21

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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.