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Finding the Fourth Proportional to 5,338.32, 7,366.64 and 2,980

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Solution

The fourth proportional to 5,338.32, 7,366.64 and 2,980 is: 4,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.32 : 7,366.64 = 2,980 : x
  2. Step 2: Convert to fraction form
    5,338.32/7,366.64 = 2,980/x
  3. Step 3: Cross multiply
    5,338.32x = 7,366.64 × 2,980
  4. Step 4: Simplify right side
    5,338.32x = 21,952,587.20
  5. Step 5: Solve for x
    x = 21,952,587.20/5,338.32
  6. Step 6: Final answer
    x = 4,112.27

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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.