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Finding the Fourth Proportional to 3,839.67, 5,756.94 and 1,499.88

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Solution

The fourth proportional to 3,839.67, 5,756.94 and 1,499.88 is: 2,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.67 : 5,756.94 = 1,499.88 : x
  2. Step 2: Convert to fraction form
    3,839.67/5,756.94 = 1,499.88/x
  3. Step 3: Cross multiply
    3,839.67x = 5,756.94 × 1,499.88
  4. Step 4: Simplify right side
    3,839.67x = 8,634,740.76
  5. Step 5: Solve for x
    x = 8,634,740.76/3,839.67
  6. Step 6: Final answer
    x = 2,248.82

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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.