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Finding the Fourth Proportional to 4,888.54, 7,344.15 and 2,942.11

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Solution

The fourth proportional to 4,888.54, 7,344.15 and 2,942.11 is: 4,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,888.54 : 7,344.15 = 2,942.11 : x
  2. Step 2: Convert to fraction form
    4,888.54/7,344.15 = 2,942.11/x
  3. Step 3: Cross multiply
    4,888.54x = 7,344.15 × 2,942.11
  4. Step 4: Simplify right side
    4,888.54x = 21,607,297.16
  5. Step 5: Solve for x
    x = 21,607,297.16/4,888.54
  6. Step 6: Final answer
    x = 4,419.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.