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Finding the Fourth Proportional to 5,152.53, 7,728.39 and 1,454.61

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Solution

The fourth proportional to 5,152.53, 7,728.39 and 1,454.61 is: 2,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.53 : 7,728.39 = 1,454.61 : x
  2. Step 2: Convert to fraction form
    5,152.53/7,728.39 = 1,454.61/x
  3. Step 3: Cross multiply
    5,152.53x = 7,728.39 × 1,454.61
  4. Step 4: Simplify right side
    5,152.53x = 11,241,793.38
  5. Step 5: Solve for x
    x = 11,241,793.38/5,152.53
  6. Step 6: Final answer
    x = 2,181.80

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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.