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Finding the Fourth Proportional to 5,857.84, 8,777.01 and 4,122.82

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Solution

The fourth proportional to 5,857.84, 8,777.01 and 4,122.82 is: 6,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.84 : 8,777.01 = 4,122.82 : x
  2. Step 2: Convert to fraction form
    5,857.84/8,777.01 = 4,122.82/x
  3. Step 3: Cross multiply
    5,857.84x = 8,777.01 × 4,122.82
  4. Step 4: Simplify right side
    5,857.84x = 36,186,032.37
  5. Step 5: Solve for x
    x = 36,186,032.37/5,857.84
  6. Step 6: Final answer
    x = 6,177.37

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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.