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Finding the Fourth Proportional to 3,600, 4,968 and 1,944

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Solution

The fourth proportional to 3,600, 4,968 and 1,944 is: 2,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,600 : 4,968 = 1,944 : x
  2. Step 2: Convert to fraction form
    3,600/4,968 = 1,944/x
  3. Step 3: Cross multiply
    3,600x = 4,968 × 1,944
  4. Step 4: Simplify right side
    3,600x = 9,657,792
  5. Step 5: Solve for x
    x = 9,657,792/3,600
  6. Step 6: Final answer
    x = 2,682.72

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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.