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Finding the Fourth Proportional to 5,320, 7,980 and 2,242.24

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Solution

The fourth proportional to 5,320, 7,980 and 2,242.24 is: 3,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320 : 7,980 = 2,242.24 : x
  2. Step 2: Convert to fraction form
    5,320/7,980 = 2,242.24/x
  3. Step 3: Cross multiply
    5,320x = 7,980 × 2,242.24
  4. Step 4: Simplify right side
    5,320x = 17,893,075.20
  5. Step 5: Solve for x
    x = 17,893,075.20/5,320
  6. Step 6: Final answer
    x = 3,363.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.