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Finding the Fourth Proportional to 3,058.29, 4,587.66 and 949.64

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Solution

The fourth proportional to 3,058.29, 4,587.66 and 949.64 is: 1,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.29 : 4,587.66 = 949.64 : x
  2. Step 2: Convert to fraction form
    3,058.29/4,587.66 = 949.64/x
  3. Step 3: Cross multiply
    3,058.29x = 4,587.66 × 949.64
  4. Step 4: Simplify right side
    3,058.29x = 4,356,630.98
  5. Step 5: Solve for x
    x = 4,356,630.98/3,058.29
  6. Step 6: Final answer
    x = 1,424.53

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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.