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Finding the Fourth Proportional to 3,675.95, 5,074.92 and 2,420.65

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Solution

The fourth proportional to 3,675.95, 5,074.92 and 2,420.65 is: 3,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.95 : 5,074.92 = 2,420.65 : x
  2. Step 2: Convert to fraction form
    3,675.95/5,074.92 = 2,420.65/x
  3. Step 3: Cross multiply
    3,675.95x = 5,074.92 × 2,420.65
  4. Step 4: Simplify right side
    3,675.95x = 12,284,567.62
  5. Step 5: Solve for x
    x = 12,284,567.62/3,675.95
  6. Step 6: Final answer
    x = 3,341.88

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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.