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Finding the Fourth Proportional to 3,863.68, 5,319.63 and 3,023.32

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Solution

The fourth proportional to 3,863.68, 5,319.63 and 3,023.32 is: 4,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.68 : 5,319.63 = 3,023.32 : x
  2. Step 2: Convert to fraction form
    3,863.68/5,319.63 = 3,023.32/x
  3. Step 3: Cross multiply
    3,863.68x = 5,319.63 × 3,023.32
  4. Step 4: Simplify right side
    3,863.68x = 16,082,943.77
  5. Step 5: Solve for x
    x = 16,082,943.77/3,863.68
  6. Step 6: Final answer
    x = 4,162.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.