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Finding the Fourth Proportional to 5,330.50, 7,357.14 and 3,092.86

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Solution

The fourth proportional to 5,330.50, 7,357.14 and 3,092.86 is: 4,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.50 : 7,357.14 = 3,092.86 : x
  2. Step 2: Convert to fraction form
    5,330.50/7,357.14 = 3,092.86/x
  3. Step 3: Cross multiply
    5,330.50x = 7,357.14 × 3,092.86
  4. Step 4: Simplify right side
    5,330.50x = 22,754,604.02
  5. Step 5: Solve for x
    x = 22,754,604.02/5,330.50
  6. Step 6: Final answer
    x = 4,268.76

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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.