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Finding the Fourth Proportional to 5,616, 7,750.32 and 3,132

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Solution

The fourth proportional to 5,616, 7,750.32 and 3,132 is: 4,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616 : 7,750.32 = 3,132 : x
  2. Step 2: Convert to fraction form
    5,616/7,750.32 = 3,132/x
  3. Step 3: Cross multiply
    5,616x = 7,750.32 × 3,132
  4. Step 4: Simplify right side
    5,616x = 24,274,002.24
  5. Step 5: Solve for x
    x = 24,274,002.24/5,616
  6. Step 6: Final answer
    x = 4,322.29

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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.