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Finding the Fourth Proportional to 3,452.74, 4,756.68 and 3,032.38

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Solution

The fourth proportional to 3,452.74, 4,756.68 and 3,032.38 is: 4,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.74 : 4,756.68 = 3,032.38 : x
  2. Step 2: Convert to fraction form
    3,452.74/4,756.68 = 3,032.38/x
  3. Step 3: Cross multiply
    3,452.74x = 4,756.68 × 3,032.38
  4. Step 4: Simplify right side
    3,452.74x = 14,424,061.30
  5. Step 5: Solve for x
    x = 14,424,061.30/3,452.74
  6. Step 6: Final answer
    x = 4,177.57

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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.