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Finding the Fourth Proportional to 7,058.36, 9,740.54 and 3,914.48

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Solution

The fourth proportional to 7,058.36, 9,740.54 and 3,914.48 is: 5,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.36 : 9,740.54 = 3,914.48 : x
  2. Step 2: Convert to fraction form
    7,058.36/9,740.54 = 3,914.48/x
  3. Step 3: Cross multiply
    7,058.36x = 9,740.54 × 3,914.48
  4. Step 4: Simplify right side
    7,058.36x = 38,129,149.02
  5. Step 5: Solve for x
    x = 38,129,149.02/7,058.36
  6. Step 6: Final answer
    x = 5,401.98

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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.