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Finding the Fourth Proportional to 3,542.88, 4,909.80 and 3,473.76

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Solution

The fourth proportional to 3,542.88, 4,909.80 and 3,473.76 is: 4,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.88 : 4,909.80 = 3,473.76 : x
  2. Step 2: Convert to fraction form
    3,542.88/4,909.80 = 3,473.76/x
  3. Step 3: Cross multiply
    3,542.88x = 4,909.80 × 3,473.76
  4. Step 4: Simplify right side
    3,542.88x = 17,055,466.85
  5. Step 5: Solve for x
    x = 17,055,466.85/3,542.88
  6. Step 6: Final answer
    x = 4,814.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.