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Finding the Fourth Proportional to 3,152.49, 4,728.41 and 1,397.53

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Solution

The fourth proportional to 3,152.49, 4,728.41 and 1,397.53 is: 2,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.49 : 4,728.41 = 1,397.53 : x
  2. Step 2: Convert to fraction form
    3,152.49/4,728.41 = 1,397.53/x
  3. Step 3: Cross multiply
    3,152.49x = 4,728.41 × 1,397.53
  4. Step 4: Simplify right side
    3,152.49x = 6,608,076.02
  5. Step 5: Solve for x
    x = 6,608,076.02/3,152.49
  6. Step 6: Final answer
    x = 2,096.14

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Why These Related Problems?

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