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Finding the Fourth Proportional to 3,345.24, 5,012.76 and 2,649

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Solution

The fourth proportional to 3,345.24, 5,012.76 and 2,649 is: 3,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.24 : 5,012.76 = 2,649 : x
  2. Step 2: Convert to fraction form
    3,345.24/5,012.76 = 2,649/x
  3. Step 3: Cross multiply
    3,345.24x = 5,012.76 × 2,649
  4. Step 4: Simplify right side
    3,345.24x = 13,278,801.24
  5. Step 5: Solve for x
    x = 13,278,801.24/3,345.24
  6. Step 6: Final answer
    x = 3,969.46

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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.