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Finding the Fourth Proportional to 7,058.80, 9,741.74 and 3,916

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Solution

The fourth proportional to 7,058.80, 9,741.74 and 3,916 is: 5,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.80 : 9,741.74 = 3,916 : x
  2. Step 2: Convert to fraction form
    7,058.80/9,741.74 = 3,916/x
  3. Step 3: Cross multiply
    7,058.80x = 9,741.74 × 3,916
  4. Step 4: Simplify right side
    7,058.80x = 38,148,653.84
  5. Step 5: Solve for x
    x = 38,148,653.84/7,058.80
  6. Step 6: Final answer
    x = 5,404.41

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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.