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Finding the Fourth Proportional to 3,801.98, 5,703.57 and 1,610.73

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Solution

The fourth proportional to 3,801.98, 5,703.57 and 1,610.73 is: 2,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.98 : 5,703.57 = 1,610.73 : x
  2. Step 2: Convert to fraction form
    3,801.98/5,703.57 = 1,610.73/x
  3. Step 3: Cross multiply
    3,801.98x = 5,703.57 × 1,610.73
  4. Step 4: Simplify right side
    3,801.98x = 9,186,911.31
  5. Step 5: Solve for x
    x = 9,186,911.31/3,801.98
  6. Step 6: Final answer
    x = 2,416.35

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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.