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Finding the Fourth Proportional to 3,853.75, 5,777.16 and 1,386.84

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Solution

The fourth proportional to 3,853.75, 5,777.16 and 1,386.84 is: 2,079.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.75 : 5,777.16 = 1,386.84 : x
  2. Step 2: Convert to fraction form
    3,853.75/5,777.16 = 1,386.84/x
  3. Step 3: Cross multiply
    3,853.75x = 5,777.16 × 1,386.84
  4. Step 4: Simplify right side
    3,853.75x = 8,011,960.75
  5. Step 5: Solve for x
    x = 8,011,960.75/3,853.75
  6. Step 6: Final answer
    x = 2,079.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.