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Finding the Fourth Proportional to 3,848.84, 5,314.50 and 3,140.78

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Solution

The fourth proportional to 3,848.84, 5,314.50 and 3,140.78 is: 4,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.84 : 5,314.50 = 3,140.78 : x
  2. Step 2: Convert to fraction form
    3,848.84/5,314.50 = 3,140.78/x
  3. Step 3: Cross multiply
    3,848.84x = 5,314.50 × 3,140.78
  4. Step 4: Simplify right side
    3,848.84x = 16,691,675.31
  5. Step 5: Solve for x
    x = 16,691,675.31/3,848.84
  6. Step 6: Final answer
    x = 4,336.81

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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.