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Finding the Fourth Proportional to 5,531.82, 7,635.75 and 3,294.39

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Solution

The fourth proportional to 5,531.82, 7,635.75 and 3,294.39 is: 4,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.82 : 7,635.75 = 3,294.39 : x
  2. Step 2: Convert to fraction form
    5,531.82/7,635.75 = 3,294.39/x
  3. Step 3: Cross multiply
    5,531.82x = 7,635.75 × 3,294.39
  4. Step 4: Simplify right side
    5,531.82x = 25,155,138.44
  5. Step 5: Solve for x
    x = 25,155,138.44/5,531.82
  6. Step 6: Final answer
    x = 4,547.35

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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.