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Finding the Fourth Proportional to 5,978.25, 8,967.60 and 3,053.13

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Solution

The fourth proportional to 5,978.25, 8,967.60 and 3,053.13 is: 4,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.25 : 8,967.60 = 3,053.13 : x
  2. Step 2: Convert to fraction form
    5,978.25/8,967.60 = 3,053.13/x
  3. Step 3: Cross multiply
    5,978.25x = 8,967.60 × 3,053.13
  4. Step 4: Simplify right side
    5,978.25x = 27,379,270.77
  5. Step 5: Solve for x
    x = 27,379,270.77/5,978.25
  6. Step 6: Final answer
    x = 4,579.82

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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.