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Finding the Fourth Proportional to 5,596.16, 7,722.40 and 3,112

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Solution

The fourth proportional to 5,596.16, 7,722.40 and 3,112 is: 4,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.16 : 7,722.40 = 3,112 : x
  2. Step 2: Convert to fraction form
    5,596.16/7,722.40 = 3,112/x
  3. Step 3: Cross multiply
    5,596.16x = 7,722.40 × 3,112
  4. Step 4: Simplify right side
    5,596.16x = 24,032,108.80
  5. Step 5: Solve for x
    x = 24,032,108.80/5,596.16
  6. Step 6: Final answer
    x = 4,294.39

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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.