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Finding the Fourth Proportional to 3,848.40, 5,311.08 and 2,170.08

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Solution

The fourth proportional to 3,848.40, 5,311.08 and 2,170.08 is: 2,994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.40 : 5,311.08 = 2,170.08 : x
  2. Step 2: Convert to fraction form
    3,848.40/5,311.08 = 2,170.08/x
  3. Step 3: Cross multiply
    3,848.40x = 5,311.08 × 2,170.08
  4. Step 4: Simplify right side
    3,848.40x = 11,525,468.49
  5. Step 5: Solve for x
    x = 11,525,468.49/3,848.40
  6. Step 6: Final answer
    x = 2,994.87

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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.