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Finding the Fourth Proportional to 4,648.65, 6,974.19 and 2,699.18

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Solution

The fourth proportional to 4,648.65, 6,974.19 and 2,699.18 is: 4,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.65 : 6,974.19 = 2,699.18 : x
  2. Step 2: Convert to fraction form
    4,648.65/6,974.19 = 2,699.18/x
  3. Step 3: Cross multiply
    4,648.65x = 6,974.19 × 2,699.18
  4. Step 4: Simplify right side
    4,648.65x = 18,824,559.29
  5. Step 5: Solve for x
    x = 18,824,559.29/4,648.65
  6. Step 6: Final answer
    x = 4,049.47

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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.