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Finding the Fourth Proportional to 5,207.04, 7,799.49 and 4,108.14

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Solution

The fourth proportional to 5,207.04, 7,799.49 and 4,108.14 is: 6,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.04 : 7,799.49 = 4,108.14 : x
  2. Step 2: Convert to fraction form
    5,207.04/7,799.49 = 4,108.14/x
  3. Step 3: Cross multiply
    5,207.04x = 7,799.49 × 4,108.14
  4. Step 4: Simplify right side
    5,207.04x = 32,041,396.85
  5. Step 5: Solve for x
    x = 32,041,396.85/5,207.04
  6. Step 6: Final answer
    x = 6,153.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.