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Finding the Fourth Proportional to 5,616.84, 8,416.20 and 2,984.28

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Solution

The fourth proportional to 5,616.84, 8,416.20 and 2,984.28 is: 4,471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.84 : 8,416.20 = 2,984.28 : x
  2. Step 2: Convert to fraction form
    5,616.84/8,416.20 = 2,984.28/x
  3. Step 3: Cross multiply
    5,616.84x = 8,416.20 × 2,984.28
  4. Step 4: Simplify right side
    5,616.84x = 25,116,297.34
  5. Step 5: Solve for x
    x = 25,116,297.34/5,616.84
  6. Step 6: Final answer
    x = 4,471.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.