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Finding the Fourth Proportional to 4,968, 6,847.20 and 4,445.28

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Solution

The fourth proportional to 4,968, 6,847.20 and 4,445.28 is: 6,126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968 : 6,847.20 = 4,445.28 : x
  2. Step 2: Convert to fraction form
    4,968/6,847.20 = 4,445.28/x
  3. Step 3: Cross multiply
    4,968x = 6,847.20 × 4,445.28
  4. Step 4: Simplify right side
    4,968x = 30,437,721.22
  5. Step 5: Solve for x
    x = 30,437,721.22/4,968
  6. Step 6: Final answer
    x = 6,126.76

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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.