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Finding the Fourth Proportional to 4,174.47, 6,251.77 and 2,415.77

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Solution

The fourth proportional to 4,174.47, 6,251.77 and 2,415.77 is: 3,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.47 : 6,251.77 = 2,415.77 : x
  2. Step 2: Convert to fraction form
    4,174.47/6,251.77 = 2,415.77/x
  3. Step 3: Cross multiply
    4,174.47x = 6,251.77 × 2,415.77
  4. Step 4: Simplify right side
    4,174.47x = 15,102,824.56
  5. Step 5: Solve for x
    x = 15,102,824.56/4,174.47
  6. Step 6: Final answer
    x = 3,617.90

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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.