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Finding the Fourth Proportional to 6,402.68, 8,833.32 and 4,308.20

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Solution

The fourth proportional to 6,402.68, 8,833.32 and 4,308.20 is: 5,943.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.68 : 8,833.32 = 4,308.20 : x
  2. Step 2: Convert to fraction form
    6,402.68/8,833.32 = 4,308.20/x
  3. Step 3: Cross multiply
    6,402.68x = 8,833.32 × 4,308.20
  4. Step 4: Simplify right side
    6,402.68x = 38,055,709.22
  5. Step 5: Solve for x
    x = 38,055,709.22/6,402.68
  6. Step 6: Final answer
    x = 5,943.72

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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.