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Finding the Fourth Proportional to 7,289, 10,058.82 and 3,977

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Solution

The fourth proportional to 7,289, 10,058.82 and 3,977 is: 5,488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289 : 10,058.82 = 3,977 : x
  2. Step 2: Convert to fraction form
    7,289/10,058.82 = 3,977/x
  3. Step 3: Cross multiply
    7,289x = 10,058.82 × 3,977
  4. Step 4: Simplify right side
    7,289x = 40,003,927.14
  5. Step 5: Solve for x
    x = 40,003,927.14/7,289
  6. Step 6: Final answer
    x = 5,488.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.