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Finding the Fourth Proportional to 5,504.52, 7,597.60 and 3,380.57

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Solution

The fourth proportional to 5,504.52, 7,597.60 and 3,380.57 is: 4,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.52 : 7,597.60 = 3,380.57 : x
  2. Step 2: Convert to fraction form
    5,504.52/7,597.60 = 3,380.57/x
  3. Step 3: Cross multiply
    5,504.52x = 7,597.60 × 3,380.57
  4. Step 4: Simplify right side
    5,504.52x = 25,684,219.70
  5. Step 5: Solve for x
    x = 25,684,219.70/5,504.52
  6. Step 6: Final answer
    x = 4,666.02

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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.