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Finding the Fourth Proportional to 5,340.16, 7,369.68 and 2,982.25

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Solution

The fourth proportional to 5,340.16, 7,369.68 and 2,982.25 is: 4,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.16 : 7,369.68 = 2,982.25 : x
  2. Step 2: Convert to fraction form
    5,340.16/7,369.68 = 2,982.25/x
  3. Step 3: Cross multiply
    5,340.16x = 7,369.68 × 2,982.25
  4. Step 4: Simplify right side
    5,340.16x = 21,978,228.18
  5. Step 5: Solve for x
    x = 21,978,228.18/5,340.16
  6. Step 6: Final answer
    x = 4,115.65

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1.5x scale

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.