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Finding the Fourth Proportional to 4,297.49, 6,438.72 and 3,058.43

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Solution

The fourth proportional to 4,297.49, 6,438.72 and 3,058.43 is: 4,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.49 : 6,438.72 = 3,058.43 : x
  2. Step 2: Convert to fraction form
    4,297.49/6,438.72 = 3,058.43/x
  3. Step 3: Cross multiply
    4,297.49x = 6,438.72 × 3,058.43
  4. Step 4: Simplify right side
    4,297.49x = 19,692,353.69
  5. Step 5: Solve for x
    x = 19,692,353.69/4,297.49
  6. Step 6: Final answer
    x = 4,582.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.