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Finding the Fourth Proportional to 5,827.12, 8,733.38 and 4,589.64

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Solution

The fourth proportional to 5,827.12, 8,733.38 and 4,589.64 is: 6,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.12 : 8,733.38 = 4,589.64 : x
  2. Step 2: Convert to fraction form
    5,827.12/8,733.38 = 4,589.64/x
  3. Step 3: Cross multiply
    5,827.12x = 8,733.38 × 4,589.64
  4. Step 4: Simplify right side
    5,827.12x = 40,083,070.18
  5. Step 5: Solve for x
    x = 40,083,070.18/5,827.12
  6. Step 6: Final answer
    x = 6,878.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.