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Finding the Fourth Proportional to 3,884.41, 5,826.91 and 1,287.34

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Solution

The fourth proportional to 3,884.41, 5,826.91 and 1,287.34 is: 1,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.41 : 5,826.91 = 1,287.34 : x
  2. Step 2: Convert to fraction form
    3,884.41/5,826.91 = 1,287.34/x
  3. Step 3: Cross multiply
    3,884.41x = 5,826.91 × 1,287.34
  4. Step 4: Simplify right side
    3,884.41x = 7,501,214.32
  5. Step 5: Solve for x
    x = 7,501,214.32/3,884.41
  6. Step 6: Final answer
    x = 1,931.11

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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.