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Finding the Fourth Proportional to 5,827.52, 8,040.89 and 3,309.72

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Solution

The fourth proportional to 5,827.52, 8,040.89 and 3,309.72 is: 4,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.52 : 8,040.89 = 3,309.72 : x
  2. Step 2: Convert to fraction form
    5,827.52/8,040.89 = 3,309.72/x
  3. Step 3: Cross multiply
    5,827.52x = 8,040.89 × 3,309.72
  4. Step 4: Simplify right side
    5,827.52x = 26,613,077.90
  5. Step 5: Solve for x
    x = 26,613,077.90/5,827.52
  6. Step 6: Final answer
    x = 4,566.80

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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.