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Finding the Fourth Proportional to 5,826.39, 8,036.25 and 3,585.33

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Solution

The fourth proportional to 5,826.39, 8,036.25 and 3,585.33 is: 4,945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.39 : 8,036.25 = 3,585.33 : x
  2. Step 2: Convert to fraction form
    5,826.39/8,036.25 = 3,585.33/x
  3. Step 3: Cross multiply
    5,826.39x = 8,036.25 × 3,585.33
  4. Step 4: Simplify right side
    5,826.39x = 28,812,608.21
  5. Step 5: Solve for x
    x = 28,812,608.21/5,826.39
  6. Step 6: Final answer
    x = 4,945.19

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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.