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Finding the Fourth Proportional to 3,923.40, 5,885.10 and 1,979.40

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Solution

The fourth proportional to 3,923.40, 5,885.10 and 1,979.40 is: 2,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.40 : 5,885.10 = 1,979.40 : x
  2. Step 2: Convert to fraction form
    3,923.40/5,885.10 = 1,979.40/x
  3. Step 3: Cross multiply
    3,923.40x = 5,885.10 × 1,979.40
  4. Step 4: Simplify right side
    3,923.40x = 11,648,966.94
  5. Step 5: Solve for x
    x = 11,648,966.94/3,923.40
  6. Step 6: Final answer
    x = 2,969.10

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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.