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Finding the Fourth Proportional to 5,731.76, 7,909.91 and 3,214.41

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Solution

The fourth proportional to 5,731.76, 7,909.91 and 3,214.41 is: 4,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.76 : 7,909.91 = 3,214.41 : x
  2. Step 2: Convert to fraction form
    5,731.76/7,909.91 = 3,214.41/x
  3. Step 3: Cross multiply
    5,731.76x = 7,909.91 × 3,214.41
  4. Step 4: Simplify right side
    5,731.76x = 25,425,677.73
  5. Step 5: Solve for x
    x = 25,425,677.73/5,731.76
  6. Step 6: Final answer
    x = 4,435.93

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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.