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Finding the Fourth Proportional to 5,278.46, 7,914.49 and 3,633.20

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Solution

The fourth proportional to 5,278.46, 7,914.49 and 3,633.20 is: 5,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.46 : 7,914.49 = 3,633.20 : x
  2. Step 2: Convert to fraction form
    5,278.46/7,914.49 = 3,633.20/x
  3. Step 3: Cross multiply
    5,278.46x = 7,914.49 × 3,633.20
  4. Step 4: Simplify right side
    5,278.46x = 28,754,925.07
  5. Step 5: Solve for x
    x = 28,754,925.07/5,278.46
  6. Step 6: Final answer
    x = 5,447.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.