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Finding the Fourth Proportional to 5,714.52, 7,883.16 and 3,697.20

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Solution

The fourth proportional to 5,714.52, 7,883.16 and 3,697.20 is: 5,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.52 : 7,883.16 = 3,697.20 : x
  2. Step 2: Convert to fraction form
    5,714.52/7,883.16 = 3,697.20/x
  3. Step 3: Cross multiply
    5,714.52x = 7,883.16 × 3,697.20
  4. Step 4: Simplify right side
    5,714.52x = 29,145,619.15
  5. Step 5: Solve for x
    x = 29,145,619.15/5,714.52
  6. Step 6: Final answer
    x = 5,100.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.