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Finding the Fourth Proportional to 5,750.42, 7,935.78 and 3,232.98

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Solution

The fourth proportional to 5,750.42, 7,935.78 and 3,232.98 is: 4,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.42 : 7,935.78 = 3,232.98 : x
  2. Step 2: Convert to fraction form
    5,750.42/7,935.78 = 3,232.98/x
  3. Step 3: Cross multiply
    5,750.42x = 7,935.78 × 3,232.98
  4. Step 4: Simplify right side
    5,750.42x = 25,656,218.02
  5. Step 5: Solve for x
    x = 25,656,218.02/5,750.42
  6. Step 6: Final answer
    x = 4,461.63

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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.