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Finding the Fourth Proportional to 5,207.84, 7,815 and 3,799.79

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Solution

The fourth proportional to 5,207.84, 7,815 and 3,799.79 is: 5,702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.84 : 7,815 = 3,799.79 : x
  2. Step 2: Convert to fraction form
    5,207.84/7,815 = 3,799.79/x
  3. Step 3: Cross multiply
    5,207.84x = 7,815 × 3,799.79
  4. Step 4: Simplify right side
    5,207.84x = 29,695,358.85
  5. Step 5: Solve for x
    x = 29,695,358.85/5,207.84
  6. Step 6: Final answer
    x = 5,702.05

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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.