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Finding the Fourth Proportional to 3,575.34, 5,363.01 and 3,385.80

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Solution

The fourth proportional to 3,575.34, 5,363.01 and 3,385.80 is: 5,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.34 : 5,363.01 = 3,385.80 : x
  2. Step 2: Convert to fraction form
    3,575.34/5,363.01 = 3,385.80/x
  3. Step 3: Cross multiply
    3,575.34x = 5,363.01 × 3,385.80
  4. Step 4: Simplify right side
    3,575.34x = 18,158,079.26
  5. Step 5: Solve for x
    x = 18,158,079.26/3,575.34
  6. Step 6: Final answer
    x = 5,078.70

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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.