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Finding the Fourth Proportional to 5,512, 7,607.10 and 3,416.80

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Solution

The fourth proportional to 5,512, 7,607.10 and 3,416.80 is: 4,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,512 : 7,607.10 = 3,416.80 : x
  2. Step 2: Convert to fraction form
    5,512/7,607.10 = 3,416.80/x
  3. Step 3: Cross multiply
    5,512x = 7,607.10 × 3,416.80
  4. Step 4: Simplify right side
    5,512x = 25,991,939.28
  5. Step 5: Solve for x
    x = 25,991,939.28/5,512
  6. Step 6: Final answer
    x = 4,715.52

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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.