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Finding the Fourth Proportional to 3,897.04, 5,842.50 and 1,816.77

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Solution

The fourth proportional to 3,897.04, 5,842.50 and 1,816.77 is: 2,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.04 : 5,842.50 = 1,816.77 : x
  2. Step 2: Convert to fraction form
    3,897.04/5,842.50 = 1,816.77/x
  3. Step 3: Cross multiply
    3,897.04x = 5,842.50 × 1,816.77
  4. Step 4: Simplify right side
    3,897.04x = 10,614,478.73
  5. Step 5: Solve for x
    x = 10,614,478.73/3,897.04
  6. Step 6: Final answer
    x = 2,723.73

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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.