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Finding the Fourth Proportional to 5,656.43, 7,806.80 and 3,298.57

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Solution

The fourth proportional to 5,656.43, 7,806.80 and 3,298.57 is: 4,552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.43 : 7,806.80 = 3,298.57 : x
  2. Step 2: Convert to fraction form
    5,656.43/7,806.80 = 3,298.57/x
  3. Step 3: Cross multiply
    5,656.43x = 7,806.80 × 3,298.57
  4. Step 4: Simplify right side
    5,656.43x = 25,751,265.01
  5. Step 5: Solve for x
    x = 25,751,265.01/5,656.43
  6. Step 6: Final answer
    x = 4,552.57

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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.