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Finding the Fourth Proportional to 4,001.96, 6,005.37 and 1,536.99

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Solution

The fourth proportional to 4,001.96, 6,005.37 and 1,536.99 is: 2,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.96 : 6,005.37 = 1,536.99 : x
  2. Step 2: Convert to fraction form
    4,001.96/6,005.37 = 1,536.99/x
  3. Step 3: Cross multiply
    4,001.96x = 6,005.37 × 1,536.99
  4. Step 4: Simplify right side
    4,001.96x = 9,230,193.64
  5. Step 5: Solve for x
    x = 9,230,193.64/4,001.96
  6. Step 6: Final answer
    x = 2,306.42

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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.