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Finding the Fourth Proportional to 4,058.96, 5,601.22 and 2,266.50

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Solution

The fourth proportional to 4,058.96, 5,601.22 and 2,266.50 is: 3,127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058.96 : 5,601.22 = 2,266.50 : x
  2. Step 2: Convert to fraction form
    4,058.96/5,601.22 = 2,266.50/x
  3. Step 3: Cross multiply
    4,058.96x = 5,601.22 × 2,266.50
  4. Step 4: Simplify right side
    4,058.96x = 12,695,165.13
  5. Step 5: Solve for x
    x = 12,695,165.13/4,058.96
  6. Step 6: Final answer
    x = 3,127.69

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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.