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Finding the Fourth Proportional to 3,699.90, 5,106.72 and 2,441.18

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Solution

The fourth proportional to 3,699.90, 5,106.72 and 2,441.18 is: 3,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.90 : 5,106.72 = 2,441.18 : x
  2. Step 2: Convert to fraction form
    3,699.90/5,106.72 = 2,441.18/x
  3. Step 3: Cross multiply
    3,699.90x = 5,106.72 × 2,441.18
  4. Step 4: Simplify right side
    3,699.90x = 12,466,422.73
  5. Step 5: Solve for x
    x = 12,466,422.73/3,699.90
  6. Step 6: Final answer
    x = 3,369.39

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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.