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Finding the Fourth Proportional to 3,840.46, 5,299.44 and 2,348.74

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Solution

The fourth proportional to 3,840.46, 5,299.44 and 2,348.74 is: 3,241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.46 : 5,299.44 = 2,348.74 : x
  2. Step 2: Convert to fraction form
    3,840.46/5,299.44 = 2,348.74/x
  3. Step 3: Cross multiply
    3,840.46x = 5,299.44 × 2,348.74
  4. Step 4: Simplify right side
    3,840.46x = 12,447,006.71
  5. Step 5: Solve for x
    x = 12,447,006.71/3,840.46
  6. Step 6: Final answer
    x = 3,241.02

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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.