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Finding the Fourth Proportional to 4,122.01, 6,174.77 and 2,477.66

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Solution

The fourth proportional to 4,122.01, 6,174.77 and 2,477.66 is: 3,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.01 : 6,174.77 = 2,477.66 : x
  2. Step 2: Convert to fraction form
    4,122.01/6,174.77 = 2,477.66/x
  3. Step 3: Cross multiply
    4,122.01x = 6,174.77 × 2,477.66
  4. Step 4: Simplify right side
    4,122.01x = 15,298,947.83
  5. Step 5: Solve for x
    x = 15,298,947.83/4,122.01
  6. Step 6: Final answer
    x = 3,711.53

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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.