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Finding the Fourth Proportional to 4,968.38, 6,851.84 and 4,442.90

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Solution

The fourth proportional to 4,968.38, 6,851.84 and 4,442.90 is: 6,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.38 : 6,851.84 = 4,442.90 : x
  2. Step 2: Convert to fraction form
    4,968.38/6,851.84 = 4,442.90/x
  3. Step 3: Cross multiply
    4,968.38x = 6,851.84 × 4,442.90
  4. Step 4: Simplify right side
    4,968.38x = 30,441,983.46
  5. Step 5: Solve for x
    x = 30,441,983.46/4,968.38
  6. Step 6: Final answer
    x = 6,127.14

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Why These Related Problems?

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