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Finding the Fourth Proportional to 5,656.32, 7,805.76 and 3,298.56

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Solution

The fourth proportional to 5,656.32, 7,805.76 and 3,298.56 is: 4,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.32 : 7,805.76 = 3,298.56 : x
  2. Step 2: Convert to fraction form
    5,656.32/7,805.76 = 3,298.56/x
  3. Step 3: Cross multiply
    5,656.32x = 7,805.76 × 3,298.56
  4. Step 4: Simplify right side
    5,656.32x = 25,747,767.71
  5. Step 5: Solve for x
    x = 25,747,767.71/5,656.32
  6. Step 6: Final answer
    x = 4,552.04

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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.