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Finding the Fourth Proportional to 3,899.46, 5,382.78 and 2,407.98

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Solution

The fourth proportional to 3,899.46, 5,382.78 and 2,407.98 is: 3,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.46 : 5,382.78 = 2,407.98 : x
  2. Step 2: Convert to fraction form
    3,899.46/5,382.78 = 2,407.98/x
  3. Step 3: Cross multiply
    3,899.46x = 5,382.78 × 2,407.98
  4. Step 4: Simplify right side
    3,899.46x = 12,961,626.58
  5. Step 5: Solve for x
    x = 12,961,626.58/3,899.46
  6. Step 6: Final answer
    x = 3,323.95

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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.