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Finding the Fourth Proportional to 6,207.45, 8,557.90 and 4,214.55

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Solution

The fourth proportional to 6,207.45, 8,557.90 and 4,214.55 is: 5,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.45 : 8,557.90 = 4,214.55 : x
  2. Step 2: Convert to fraction form
    6,207.45/8,557.90 = 4,214.55/x
  3. Step 3: Cross multiply
    6,207.45x = 8,557.90 × 4,214.55
  4. Step 4: Simplify right side
    6,207.45x = 36,067,646.91
  5. Step 5: Solve for x
    x = 36,067,646.91/6,207.45
  6. Step 6: Final answer
    x = 5,810.38

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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.