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Finding the Fourth Proportional to 5,932.80, 8,192.70 and 4,762.44

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Solution

The fourth proportional to 5,932.80, 8,192.70 and 4,762.44 is: 6,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.80 : 8,192.70 = 4,762.44 : x
  2. Step 2: Convert to fraction form
    5,932.80/8,192.70 = 4,762.44/x
  3. Step 3: Cross multiply
    5,932.80x = 8,192.70 × 4,762.44
  4. Step 4: Simplify right side
    5,932.80x = 39,017,242.19
  5. Step 5: Solve for x
    x = 39,017,242.19/5,932.80
  6. Step 6: Final answer
    x = 6,576.53

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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.