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Finding the Fourth Proportional to 5,723.66, 7,899.05 and 3,206.25

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Solution

The fourth proportional to 5,723.66, 7,899.05 and 3,206.25 is: 4,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.66 : 7,899.05 = 3,206.25 : x
  2. Step 2: Convert to fraction form
    5,723.66/7,899.05 = 3,206.25/x
  3. Step 3: Cross multiply
    5,723.66x = 7,899.05 × 3,206.25
  4. Step 4: Simplify right side
    5,723.66x = 25,326,337.08
  5. Step 5: Solve for x
    x = 25,326,337.08/5,723.66
  6. Step 6: Final answer
    x = 4,424.85

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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.