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Finding the Fourth Proportional to 4,344, 5,994.72 and 2,688

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Solution

The fourth proportional to 4,344, 5,994.72 and 2,688 is: 3,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344 : 5,994.72 = 2,688 : x
  2. Step 2: Convert to fraction form
    4,344/5,994.72 = 2,688/x
  3. Step 3: Cross multiply
    4,344x = 5,994.72 × 2,688
  4. Step 4: Simplify right side
    4,344x = 16,113,807.36
  5. Step 5: Solve for x
    x = 16,113,807.36/4,344
  6. Step 6: Final answer
    x = 3,709.44

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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.