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Finding the Fourth Proportional to 5,785.96, 7,985.01 and 3,267.19

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Solution

The fourth proportional to 5,785.96, 7,985.01 and 3,267.19 is: 4,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.96 : 7,985.01 = 3,267.19 : x
  2. Step 2: Convert to fraction form
    5,785.96/7,985.01 = 3,267.19/x
  3. Step 3: Cross multiply
    5,785.96x = 7,985.01 × 3,267.19
  4. Step 4: Simplify right side
    5,785.96x = 26,088,544.82
  5. Step 5: Solve for x
    x = 26,088,544.82/5,785.96
  6. Step 6: Final answer
    x = 4,508.94

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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.