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Finding the Fourth Proportional to 3,835.67, 5,727.20 and 3,437.78

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Solution

The fourth proportional to 3,835.67, 5,727.20 and 3,437.78 is: 5,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.67 : 5,727.20 = 3,437.78 : x
  2. Step 2: Convert to fraction form
    3,835.67/5,727.20 = 3,437.78/x
  3. Step 3: Cross multiply
    3,835.67x = 5,727.20 × 3,437.78
  4. Step 4: Simplify right side
    3,835.67x = 19,688,807.79
  5. Step 5: Solve for x
    x = 19,688,807.79/3,835.67
  6. Step 6: Final answer
    x = 5,133.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.