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Finding the Fourth Proportional to 3,460.65, 5,178.18 and 2,074.95

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Solution

The fourth proportional to 3,460.65, 5,178.18 and 2,074.95 is: 3,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.65 : 5,178.18 = 2,074.95 : x
  2. Step 2: Convert to fraction form
    3,460.65/5,178.18 = 2,074.95/x
  3. Step 3: Cross multiply
    3,460.65x = 5,178.18 × 2,074.95
  4. Step 4: Simplify right side
    3,460.65x = 10,744,464.59
  5. Step 5: Solve for x
    x = 10,744,464.59/3,460.65
  6. Step 6: Final answer
    x = 3,104.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.