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Finding the Fourth Proportional to 5,338, 7,366.48 and 2,980.16

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Solution

The fourth proportional to 5,338, 7,366.48 and 2,980.16 is: 4,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338 : 7,366.48 = 2,980.16 : x
  2. Step 2: Convert to fraction form
    5,338/7,366.48 = 2,980.16/x
  3. Step 3: Cross multiply
    5,338x = 7,366.48 × 2,980.16
  4. Step 4: Simplify right side
    5,338x = 21,953,289.04
  5. Step 5: Solve for x
    x = 21,953,289.04/5,338
  6. Step 6: Final answer
    x = 4,112.64

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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.