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Finding the Fourth Proportional to 5,590.02, 7,714.90 and 3,200.88

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Solution

The fourth proportional to 5,590.02, 7,714.90 and 3,200.88 is: 4,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.02 : 7,714.90 = 3,200.88 : x
  2. Step 2: Convert to fraction form
    5,590.02/7,714.90 = 3,200.88/x
  3. Step 3: Cross multiply
    5,590.02x = 7,714.90 × 3,200.88
  4. Step 4: Simplify right side
    5,590.02x = 24,694,469.11
  5. Step 5: Solve for x
    x = 24,694,469.11/5,590.02
  6. Step 6: Final answer
    x = 4,417.60

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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.