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Finding the Fourth Proportional to 5,785.32, 7,983.54 and 3,267.21

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Solution

The fourth proportional to 5,785.32, 7,983.54 and 3,267.21 is: 4,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.32 : 7,983.54 = 3,267.21 : x
  2. Step 2: Convert to fraction form
    5,785.32/7,983.54 = 3,267.21/x
  3. Step 3: Cross multiply
    5,785.32x = 7,983.54 × 3,267.21
  4. Step 4: Simplify right side
    5,785.32x = 26,083,901.72
  5. Step 5: Solve for x
    x = 26,083,901.72/5,785.32
  6. Step 6: Final answer
    x = 4,508.64

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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.