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Finding the Fourth Proportional to 3,673.65, 5,061.07 and 3,006.61

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Solution

The fourth proportional to 3,673.65, 5,061.07 and 3,006.61 is: 4,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.65 : 5,061.07 = 3,006.61 : x
  2. Step 2: Convert to fraction form
    3,673.65/5,061.07 = 3,006.61/x
  3. Step 3: Cross multiply
    3,673.65x = 5,061.07 × 3,006.61
  4. Step 4: Simplify right side
    3,673.65x = 15,216,663.67
  5. Step 5: Solve for x
    x = 15,216,663.67/3,673.65
  6. Step 6: Final answer
    x = 4,142.11

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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.