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Finding the Fourth Proportional to 6,294.71, 8,676 and 4,301.79

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Solution

The fourth proportional to 6,294.71, 8,676 and 4,301.79 is: 5,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.71 : 8,676 = 4,301.79 : x
  2. Step 2: Convert to fraction form
    6,294.71/8,676 = 4,301.79/x
  3. Step 3: Cross multiply
    6,294.71x = 8,676 × 4,301.79
  4. Step 4: Simplify right side
    6,294.71x = 37,322,330.04
  5. Step 5: Solve for x
    x = 37,322,330.04/6,294.71
  6. Step 6: Final answer
    x = 5,929.16

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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.