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Finding the Fourth Proportional to 7,058.44, 9,740.78 and 3,914.61

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Solution

The fourth proportional to 7,058.44, 9,740.78 and 3,914.61 is: 5,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.44 : 9,740.78 = 3,914.61 : x
  2. Step 2: Convert to fraction form
    7,058.44/9,740.78 = 3,914.61/x
  3. Step 3: Cross multiply
    7,058.44x = 9,740.78 × 3,914.61
  4. Step 4: Simplify right side
    7,058.44x = 38,131,354.80
  5. Step 5: Solve for x
    x = 38,131,354.80/7,058.44
  6. Step 6: Final answer
    x = 5,402.24

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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.