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Finding the Fourth Proportional to 5,058.10, 6,978.99 and 3,068.61

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Solution

The fourth proportional to 5,058.10, 6,978.99 and 3,068.61 is: 4,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.10 : 6,978.99 = 3,068.61 : x
  2. Step 2: Convert to fraction form
    5,058.10/6,978.99 = 3,068.61/x
  3. Step 3: Cross multiply
    5,058.10x = 6,978.99 × 3,068.61
  4. Step 4: Simplify right side
    5,058.10x = 21,415,783.84
  5. Step 5: Solve for x
    x = 21,415,783.84/5,058.10
  6. Step 6: Final answer
    x = 4,233.96

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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.