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Finding the Fourth Proportional to 3,575.88, 5,363.91 and 978.84

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Solution

The fourth proportional to 3,575.88, 5,363.91 and 978.84 is: 1,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.88 : 5,363.91 = 978.84 : x
  2. Step 2: Convert to fraction form
    3,575.88/5,363.91 = 978.84/x
  3. Step 3: Cross multiply
    3,575.88x = 5,363.91 × 978.84
  4. Step 4: Simplify right side
    3,575.88x = 5,250,409.66
  5. Step 5: Solve for x
    x = 5,250,409.66/3,575.88
  6. Step 6: Final answer
    x = 1,468.28

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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.