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Finding the Fourth Proportional to 3,919.40, 5,877.16 and 1,250.64

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Solution

The fourth proportional to 3,919.40, 5,877.16 and 1,250.64 is: 1,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.40 : 5,877.16 = 1,250.64 : x
  2. Step 2: Convert to fraction form
    3,919.40/5,877.16 = 1,250.64/x
  3. Step 3: Cross multiply
    3,919.40x = 5,877.16 × 1,250.64
  4. Step 4: Simplify right side
    3,919.40x = 7,350,211.38
  5. Step 5: Solve for x
    x = 7,350,211.38/3,919.40
  6. Step 6: Final answer
    x = 1,875.34

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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.