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Finding the Fourth Proportional to 4,932.37, 7,393.65 and 4,057.57

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Solution

The fourth proportional to 4,932.37, 7,393.65 and 4,057.57 is: 6,082.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.37 : 7,393.65 = 4,057.57 : x
  2. Step 2: Convert to fraction form
    4,932.37/7,393.65 = 4,057.57/x
  3. Step 3: Cross multiply
    4,932.37x = 7,393.65 × 4,057.57
  4. Step 4: Simplify right side
    4,932.37x = 30,000,252.43
  5. Step 5: Solve for x
    x = 30,000,252.43/4,932.37
  6. Step 6: Final answer
    x = 6,082.32

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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.