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Finding the Fourth Proportional to 5,424, 7,487.04 and 3,216

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Solution

The fourth proportional to 5,424, 7,487.04 and 3,216 is: 4,439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424 : 7,487.04 = 3,216 : x
  2. Step 2: Convert to fraction form
    5,424/7,487.04 = 3,216/x
  3. Step 3: Cross multiply
    5,424x = 7,487.04 × 3,216
  4. Step 4: Simplify right side
    5,424x = 24,078,320.64
  5. Step 5: Solve for x
    x = 24,078,320.64/5,424
  6. Step 6: Final answer
    x = 4,439.22

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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.