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Finding the Fourth Proportional to 4,974.16, 7,494.94 and 4,127.44

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Solution

The fourth proportional to 4,974.16, 7,494.94 and 4,127.44 is: 6,219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.16 : 7,494.94 = 4,127.44 : x
  2. Step 2: Convert to fraction form
    4,974.16/7,494.94 = 4,127.44/x
  3. Step 3: Cross multiply
    4,974.16x = 7,494.94 × 4,127.44
  4. Step 4: Simplify right side
    4,974.16x = 30,934,915.15
  5. Step 5: Solve for x
    x = 30,934,915.15/4,974.16
  6. Step 6: Final answer
    x = 6,219.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.