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Finding the Fourth Proportional to 5,634.52, 7,775.49 and 3,116.57

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Solution

The fourth proportional to 5,634.52, 7,775.49 and 3,116.57 is: 4,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.52 : 7,775.49 = 3,116.57 : x
  2. Step 2: Convert to fraction form
    5,634.52/7,775.49 = 3,116.57/x
  3. Step 3: Cross multiply
    5,634.52x = 7,775.49 × 3,116.57
  4. Step 4: Simplify right side
    5,634.52x = 24,232,860.84
  5. Step 5: Solve for x
    x = 24,232,860.84/5,634.52
  6. Step 6: Final answer
    x = 4,300.78

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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.