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Finding the Fourth Proportional to 3,642.06, 5,463.45 and 2,488.62

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Solution

The fourth proportional to 3,642.06, 5,463.45 and 2,488.62 is: 3,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.06 : 5,463.45 = 2,488.62 : x
  2. Step 2: Convert to fraction form
    3,642.06/5,463.45 = 2,488.62/x
  3. Step 3: Cross multiply
    3,642.06x = 5,463.45 × 2,488.62
  4. Step 4: Simplify right side
    3,642.06x = 13,596,450.94
  5. Step 5: Solve for x
    x = 13,596,450.94/3,642.06
  6. Step 6: Final answer
    x = 3,733.18

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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.