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Finding the Fourth Proportional to 3,914.64, 5,871.97 and 1,319.40

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Solution

The fourth proportional to 3,914.64, 5,871.97 and 1,319.40 is: 1,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.64 : 5,871.97 = 1,319.40 : x
  2. Step 2: Convert to fraction form
    3,914.64/5,871.97 = 1,319.40/x
  3. Step 3: Cross multiply
    3,914.64x = 5,871.97 × 1,319.40
  4. Step 4: Simplify right side
    3,914.64x = 7,747,477.22
  5. Step 5: Solve for x
    x = 7,747,477.22/3,914.64
  6. Step 6: Final answer
    x = 1,979.10

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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.