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Finding the Fourth Proportional to 5,531.83, 7,634.91 and 3,295

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Solution

The fourth proportional to 5,531.83, 7,634.91 and 3,295 is: 4,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.83 : 7,634.91 = 3,295 : x
  2. Step 2: Convert to fraction form
    5,531.83/7,634.91 = 3,295/x
  3. Step 3: Cross multiply
    5,531.83x = 7,634.91 × 3,295
  4. Step 4: Simplify right side
    5,531.83x = 25,157,028.45
  5. Step 5: Solve for x
    x = 25,157,028.45/5,531.83
  6. Step 6: Final answer
    x = 4,547.69

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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.