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Finding the Fourth Proportional to 5,653.28, 7,802.44 and 3,294.97

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Solution

The fourth proportional to 5,653.28, 7,802.44 and 3,294.97 is: 4,547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.28 : 7,802.44 = 3,294.97 : x
  2. Step 2: Convert to fraction form
    5,653.28/7,802.44 = 3,294.97/x
  3. Step 3: Cross multiply
    5,653.28x = 7,802.44 × 3,294.97
  4. Step 4: Simplify right side
    5,653.28x = 25,708,805.73
  5. Step 5: Solve for x
    x = 25,708,805.73/5,653.28
  6. Step 6: Final answer
    x = 4,547.59

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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.