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Finding the Fourth Proportional to 5,153.52, 7,728.90 and 1,454.88

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Solution

The fourth proportional to 5,153.52, 7,728.90 and 1,454.88 is: 2,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.52 : 7,728.90 = 1,454.88 : x
  2. Step 2: Convert to fraction form
    5,153.52/7,728.90 = 1,454.88/x
  3. Step 3: Cross multiply
    5,153.52x = 7,728.90 × 1,454.88
  4. Step 4: Simplify right side
    5,153.52x = 11,244,622.03
  5. Step 5: Solve for x
    x = 11,244,622.03/5,153.52
  6. Step 6: Final answer
    x = 2,181.93

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1.5x scale

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.