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Finding the Fourth Proportional to 7,058.82, 9,741.48 and 3,915

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Solution

The fourth proportional to 7,058.82, 9,741.48 and 3,915 is: 5,402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.82 : 9,741.48 = 3,915 : x
  2. Step 2: Convert to fraction form
    7,058.82/9,741.48 = 3,915/x
  3. Step 3: Cross multiply
    7,058.82x = 9,741.48 × 3,915
  4. Step 4: Simplify right side
    7,058.82x = 38,137,894.20
  5. Step 5: Solve for x
    x = 38,137,894.20/7,058.82
  6. Step 6: Final answer
    x = 5,402.87

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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.