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Finding the Fourth Proportional to 5,832.90, 8,752.86 and 2,322.30

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Solution

The fourth proportional to 5,832.90, 8,752.86 and 2,322.30 is: 3,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.90 : 8,752.86 = 2,322.30 : x
  2. Step 2: Convert to fraction form
    5,832.90/8,752.86 = 2,322.30/x
  3. Step 3: Cross multiply
    5,832.90x = 8,752.86 × 2,322.30
  4. Step 4: Simplify right side
    5,832.90x = 20,326,766.78
  5. Step 5: Solve for x
    x = 20,326,766.78/5,832.90
  6. Step 6: Final answer
    x = 3,484.85

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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.