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Finding the Fourth Proportional to 5,733.42, 7,909.68 and 3,494.98

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Solution

The fourth proportional to 5,733.42, 7,909.68 and 3,494.98 is: 4,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.42 : 7,909.68 = 3,494.98 : x
  2. Step 2: Convert to fraction form
    5,733.42/7,909.68 = 3,494.98/x
  3. Step 3: Cross multiply
    5,733.42x = 7,909.68 × 3,494.98
  4. Step 4: Simplify right side
    5,733.42x = 27,644,173.41
  5. Step 5: Solve for x
    x = 27,644,173.41/5,733.42
  6. Step 6: Final answer
    x = 4,821.59

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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.