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Finding the Fourth Proportional to 5,978.46, 8,983.62 and 3,058.68

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Solution

The fourth proportional to 5,978.46, 8,983.62 and 3,058.68 is: 4,596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.46 : 8,983.62 = 3,058.68 : x
  2. Step 2: Convert to fraction form
    5,978.46/8,983.62 = 3,058.68/x
  3. Step 3: Cross multiply
    5,978.46x = 8,983.62 × 3,058.68
  4. Step 4: Simplify right side
    5,978.46x = 27,478,018.82
  5. Step 5: Solve for x
    x = 27,478,018.82/5,978.46
  6. Step 6: Final answer
    x = 4,596.17

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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.