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Finding the Fourth Proportional to 6,421.79, 8,864.04 and 4,179.71

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Solution

The fourth proportional to 6,421.79, 8,864.04 and 4,179.71 is: 5,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.79 : 8,864.04 = 4,179.71 : x
  2. Step 2: Convert to fraction form
    6,421.79/8,864.04 = 4,179.71/x
  3. Step 3: Cross multiply
    6,421.79x = 8,864.04 × 4,179.71
  4. Step 4: Simplify right side
    6,421.79x = 37,049,116.63
  5. Step 5: Solve for x
    x = 37,049,116.63/6,421.79
  6. Step 6: Final answer
    x = 5,769.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.