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Finding the Fourth Proportional to 3,827.29, 5,740.72 and 1,230.02

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Solution

The fourth proportional to 3,827.29, 5,740.72 and 1,230.02 is: 1,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.29 : 5,740.72 = 1,230.02 : x
  2. Step 2: Convert to fraction form
    3,827.29/5,740.72 = 1,230.02/x
  3. Step 3: Cross multiply
    3,827.29x = 5,740.72 × 1,230.02
  4. Step 4: Simplify right side
    3,827.29x = 7,061,200.41
  5. Step 5: Solve for x
    x = 7,061,200.41/3,827.29
  6. Step 6: Final answer
    x = 1,844.96

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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.