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Finding the Fourth Proportional to 4,179.50, 6,269.66 and 1,547.71

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Solution

The fourth proportional to 4,179.50, 6,269.66 and 1,547.71 is: 2,321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.50 : 6,269.66 = 1,547.71 : x
  2. Step 2: Convert to fraction form
    4,179.50/6,269.66 = 1,547.71/x
  3. Step 3: Cross multiply
    4,179.50x = 6,269.66 × 1,547.71
  4. Step 4: Simplify right side
    4,179.50x = 9,703,584.13
  5. Step 5: Solve for x
    x = 9,703,584.13/4,179.50
  6. Step 6: Final answer
    x = 2,321.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.