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Finding the Fourth Proportional to 6,421.62, 8,851.24 and 4,296.39

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Solution

The fourth proportional to 6,421.62, 8,851.24 and 4,296.39 is: 5,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.62 : 8,851.24 = 4,296.39 : x
  2. Step 2: Convert to fraction form
    6,421.62/8,851.24 = 4,296.39/x
  3. Step 3: Cross multiply
    6,421.62x = 8,851.24 × 4,296.39
  4. Step 4: Simplify right side
    6,421.62x = 38,028,382.86
  5. Step 5: Solve for x
    x = 38,028,382.86/6,421.62
  6. Step 6: Final answer
    x = 5,921.93

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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.