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Finding the Fourth Proportional to 3,642.96, 5,029.12 and 2,151.35

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Solution

The fourth proportional to 3,642.96, 5,029.12 and 2,151.35 is: 2,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.96 : 5,029.12 = 2,151.35 : x
  2. Step 2: Convert to fraction form
    3,642.96/5,029.12 = 2,151.35/x
  3. Step 3: Cross multiply
    3,642.96x = 5,029.12 × 2,151.35
  4. Step 4: Simplify right side
    3,642.96x = 10,819,397.31
  5. Step 5: Solve for x
    x = 10,819,397.31/3,642.96
  6. Step 6: Final answer
    x = 2,969.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.