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Finding the Fourth Proportional to 5,058, 7,585.74 and 4,236.66

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Solution

The fourth proportional to 5,058, 7,585.74 and 4,236.66 is: 6,353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058 : 7,585.74 = 4,236.66 : x
  2. Step 2: Convert to fraction form
    5,058/7,585.74 = 4,236.66/x
  3. Step 3: Cross multiply
    5,058x = 7,585.74 × 4,236.66
  4. Step 4: Simplify right side
    5,058x = 32,138,201.23
  5. Step 5: Solve for x
    x = 32,138,201.23/5,058
  6. Step 6: Final answer
    x = 6,353.93

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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.