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Finding the Fourth Proportional to 5,369.94, 7,405.56 and 3,578.42

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Solution

The fourth proportional to 5,369.94, 7,405.56 and 3,578.42 is: 4,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.94 : 7,405.56 = 3,578.42 : x
  2. Step 2: Convert to fraction form
    5,369.94/7,405.56 = 3,578.42/x
  3. Step 3: Cross multiply
    5,369.94x = 7,405.56 × 3,578.42
  4. Step 4: Simplify right side
    5,369.94x = 26,500,222.53
  5. Step 5: Solve for x
    x = 26,500,222.53/5,369.94
  6. Step 6: Final answer
    x = 4,934.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.