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Finding the Fourth Proportional to 4,253.81, 6,364.69 and 3,822.17

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Solution

The fourth proportional to 4,253.81, 6,364.69 and 3,822.17 is: 5,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.81 : 6,364.69 = 3,822.17 : x
  2. Step 2: Convert to fraction form
    4,253.81/6,364.69 = 3,822.17/x
  3. Step 3: Cross multiply
    4,253.81x = 6,364.69 × 3,822.17
  4. Step 4: Simplify right side
    4,253.81x = 24,326,933.53
  5. Step 5: Solve for x
    x = 24,326,933.53/4,253.81
  6. Step 6: Final answer
    x = 5,718.85

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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.