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Finding the Fourth Proportional to 3,867.66, 5,804.56 and 1,403.19

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Solution

The fourth proportional to 3,867.66, 5,804.56 and 1,403.19 is: 2,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.66 : 5,804.56 = 1,403.19 : x
  2. Step 2: Convert to fraction form
    3,867.66/5,804.56 = 1,403.19/x
  3. Step 3: Cross multiply
    3,867.66x = 5,804.56 × 1,403.19
  4. Step 4: Simplify right side
    3,867.66x = 8,144,902.30
  5. Step 5: Solve for x
    x = 8,144,902.30/3,867.66
  6. Step 6: Final answer
    x = 2,105.90

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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.