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Finding the Fourth Proportional to 5,337, 7,363.80 and 2,978.64

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Solution

The fourth proportional to 5,337, 7,363.80 and 2,978.64 is: 4,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337 : 7,363.80 = 2,978.64 : x
  2. Step 2: Convert to fraction form
    5,337/7,363.80 = 2,978.64/x
  3. Step 3: Cross multiply
    5,337x = 7,363.80 × 2,978.64
  4. Step 4: Simplify right side
    5,337x = 21,934,109.23
  5. Step 5: Solve for x
    x = 21,934,109.23/5,337
  6. Step 6: Final answer
    x = 4,109.82

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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.