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Finding the Fourth Proportional to 5,789, 8,695.16 and 3,453.57

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Solution

The fourth proportional to 5,789, 8,695.16 and 3,453.57 is: 5,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789 : 8,695.16 = 3,453.57 : x
  2. Step 2: Convert to fraction form
    5,789/8,695.16 = 3,453.57/x
  3. Step 3: Cross multiply
    5,789x = 8,695.16 × 3,453.57
  4. Step 4: Simplify right side
    5,789x = 30,029,343.72
  5. Step 5: Solve for x
    x = 30,029,343.72/5,789
  6. Step 6: Final answer
    x = 5,187.31

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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.