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Finding the Fourth Proportional to 5,978.92, 8,962.62 and 3,203.56

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Solution

The fourth proportional to 5,978.92, 8,962.62 and 3,203.56 is: 4,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.92 : 8,962.62 = 3,203.56 : x
  2. Step 2: Convert to fraction form
    5,978.92/8,962.62 = 3,203.56/x
  3. Step 3: Cross multiply
    5,978.92x = 8,962.62 × 3,203.56
  4. Step 4: Simplify right side
    5,978.92x = 28,712,290.93
  5. Step 5: Solve for x
    x = 28,712,290.93/5,978.92
  6. Step 6: Final answer
    x = 4,802.25

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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.