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Finding the Fourth Proportional to 4,963.84, 7,447.58 and 3,578.74

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Solution

The fourth proportional to 4,963.84, 7,447.58 and 3,578.74 is: 5,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.84 : 7,447.58 = 3,578.74 : x
  2. Step 2: Convert to fraction form
    4,963.84/7,447.58 = 3,578.74/x
  3. Step 3: Cross multiply
    4,963.84x = 7,447.58 × 3,578.74
  4. Step 4: Simplify right side
    4,963.84x = 26,652,952.45
  5. Step 5: Solve for x
    x = 26,652,952.45/4,963.84
  6. Step 6: Final answer
    x = 5,369.42

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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.