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Finding the Fourth Proportional to 5,695.40, 8,543.10 and 2,001.80

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Solution

The fourth proportional to 5,695.40, 8,543.10 and 2,001.80 is: 3,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.40 : 8,543.10 = 2,001.80 : x
  2. Step 2: Convert to fraction form
    5,695.40/8,543.10 = 2,001.80/x
  3. Step 3: Cross multiply
    5,695.40x = 8,543.10 × 2,001.80
  4. Step 4: Simplify right side
    5,695.40x = 17,101,577.58
  5. Step 5: Solve for x
    x = 17,101,577.58/5,695.40
  6. Step 6: Final answer
    x = 3,002.70

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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.