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Finding the Fourth Proportional to 5,666.16, 8,493.96 and 5,199

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Solution

The fourth proportional to 5,666.16, 8,493.96 and 5,199 is: 7,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.16 : 8,493.96 = 5,199 : x
  2. Step 2: Convert to fraction form
    5,666.16/8,493.96 = 5,199/x
  3. Step 3: Cross multiply
    5,666.16x = 8,493.96 × 5,199
  4. Step 4: Simplify right side
    5,666.16x = 44,160,098.04
  5. Step 5: Solve for x
    x = 44,160,098.04/5,666.16
  6. Step 6: Final answer
    x = 7,793.66

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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.