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Finding the Fourth Proportional to 6,207.85, 8,567.00 and 3,691.32

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Solution

The fourth proportional to 6,207.85, 8,567.00 and 3,691.32 is: 5,094.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.85 : 8,567.00 = 3,691.32 : x
  2. Step 2: Convert to fraction form
    6,207.85/8,567.00 = 3,691.32/x
  3. Step 3: Cross multiply
    6,207.85x = 8,567.00 × 3,691.32
  4. Step 4: Simplify right side
    6,207.85x = 31,623,565.46
  5. Step 5: Solve for x
    x = 31,623,565.46/6,207.85
  6. Step 6: Final answer
    x = 5,094.12

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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.