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Finding the Fourth Proportional to 7,197.58, 10,797.46 and 3,689.60

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Solution

The fourth proportional to 7,197.58, 10,797.46 and 3,689.60 is: 5,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.58 : 10,797.46 = 3,689.60 : x
  2. Step 2: Convert to fraction form
    7,197.58/10,797.46 = 3,689.60/x
  3. Step 3: Cross multiply
    7,197.58x = 10,797.46 × 3,689.60
  4. Step 4: Simplify right side
    7,197.58x = 39,838,308.42
  5. Step 5: Solve for x
    x = 39,838,308.42/7,197.58
  6. Step 6: Final answer
    x = 5,534.96

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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.