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Finding the Fourth Proportional to 5,024.01, 7,529.23 and 3,914.77

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Solution

The fourth proportional to 5,024.01, 7,529.23 and 3,914.77 is: 5,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.01 : 7,529.23 = 3,914.77 : x
  2. Step 2: Convert to fraction form
    5,024.01/7,529.23 = 3,914.77/x
  3. Step 3: Cross multiply
    5,024.01x = 7,529.23 × 3,914.77
  4. Step 4: Simplify right side
    5,024.01x = 29,475,203.73
  5. Step 5: Solve for x
    x = 29,475,203.73/5,024.01
  6. Step 6: Final answer
    x = 5,866.87

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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.