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Finding the Fourth Proportional to 3,058.23, 4,588.07 and 949.75

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Solution

The fourth proportional to 3,058.23, 4,588.07 and 949.75 is: 1,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.23 : 4,588.07 = 949.75 : x
  2. Step 2: Convert to fraction form
    3,058.23/4,588.07 = 949.75/x
  3. Step 3: Cross multiply
    3,058.23x = 4,588.07 × 949.75
  4. Step 4: Simplify right side
    3,058.23x = 4,357,519.45
  5. Step 5: Solve for x
    x = 4,357,519.45/3,058.23
  6. Step 6: Final answer
    x = 1,424.85

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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.