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Finding the Fourth Proportional to 3,382.80, 4,668.02 and 2,586.66

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Solution

The fourth proportional to 3,382.80, 4,668.02 and 2,586.66 is: 3,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.80 : 4,668.02 = 2,586.66 : x
  2. Step 2: Convert to fraction form
    3,382.80/4,668.02 = 2,586.66/x
  3. Step 3: Cross multiply
    3,382.80x = 4,668.02 × 2,586.66
  4. Step 4: Simplify right side
    3,382.80x = 12,074,580.61
  5. Step 5: Solve for x
    x = 12,074,580.61/3,382.80
  6. Step 6: Final answer
    x = 3,569.40

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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.