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Finding the Fourth Proportional to 5,656.50, 7,805.97 and 3,298.19

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Solution

The fourth proportional to 5,656.50, 7,805.97 and 3,298.19 is: 4,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.50 : 7,805.97 = 3,298.19 : x
  2. Step 2: Convert to fraction form
    5,656.50/7,805.97 = 3,298.19/x
  3. Step 3: Cross multiply
    5,656.50x = 7,805.97 × 3,298.19
  4. Step 4: Simplify right side
    5,656.50x = 25,745,572.19
  5. Step 5: Solve for x
    x = 25,745,572.19/5,656.50
  6. Step 6: Final answer
    x = 4,551.50

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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.