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Finding the Fourth Proportional to 3,874.40, 5,811.60 and 1,565.36

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Solution

The fourth proportional to 3,874.40, 5,811.60 and 1,565.36 is: 2,348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.40 : 5,811.60 = 1,565.36 : x
  2. Step 2: Convert to fraction form
    3,874.40/5,811.60 = 1,565.36/x
  3. Step 3: Cross multiply
    3,874.40x = 5,811.60 × 1,565.36
  4. Step 4: Simplify right side
    3,874.40x = 9,097,246.18
  5. Step 5: Solve for x
    x = 9,097,246.18/3,874.40
  6. Step 6: Final answer
    x = 2,348.04

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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.