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Finding the Fourth Proportional to 4,878.09, 7,319.70 and 2,246.40

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Solution

The fourth proportional to 4,878.09, 7,319.70 and 2,246.40 is: 3,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.09 : 7,319.70 = 2,246.40 : x
  2. Step 2: Convert to fraction form
    4,878.09/7,319.70 = 2,246.40/x
  3. Step 3: Cross multiply
    4,878.09x = 7,319.70 × 2,246.40
  4. Step 4: Simplify right side
    4,878.09x = 16,442,974.08
  5. Step 5: Solve for x
    x = 16,442,974.08/4,878.09
  6. Step 6: Final answer
    x = 3,370.78

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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.