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Finding the Fourth Proportional to 5,857.83, 8,777.02 and 4,122.81

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Solution

The fourth proportional to 5,857.83, 8,777.02 and 4,122.81 is: 6,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.83 : 8,777.02 = 4,122.81 : x
  2. Step 2: Convert to fraction form
    5,857.83/8,777.02 = 4,122.81/x
  3. Step 3: Cross multiply
    5,857.83x = 8,777.02 × 4,122.81
  4. Step 4: Simplify right side
    5,857.83x = 36,185,985.83
  5. Step 5: Solve for x
    x = 36,185,985.83/5,857.83
  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.