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Finding the Fourth Proportional to 3,798.12, 5,241.60 and 2,865

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Solution

The fourth proportional to 3,798.12, 5,241.60 and 2,865 is: 3,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.12 : 5,241.60 = 2,865 : x
  2. Step 2: Convert to fraction form
    3,798.12/5,241.60 = 2,865/x
  3. Step 3: Cross multiply
    3,798.12x = 5,241.60 × 2,865
  4. Step 4: Simplify right side
    3,798.12x = 15,017,184.00
  5. Step 5: Solve for x
    x = 15,017,184.00/3,798.12
  6. Step 6: Final answer
    x = 3,953.85

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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.