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Finding the Fourth Proportional to 5,321.40, 7,975.87 and 2,197.53

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Solution

The fourth proportional to 5,321.40, 7,975.87 and 2,197.53 is: 3,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.40 : 7,975.87 = 2,197.53 : x
  2. Step 2: Convert to fraction form
    5,321.40/7,975.87 = 2,197.53/x
  3. Step 3: Cross multiply
    5,321.40x = 7,975.87 × 2,197.53
  4. Step 4: Simplify right side
    5,321.40x = 17,527,208.11
  5. Step 5: Solve for x
    x = 17,527,208.11/5,321.40
  6. Step 6: Final answer
    x = 3,293.72

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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.