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Finding the Fourth Proportional to 3,840.18, 5,720.16 and 3,789.16

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Solution

The fourth proportional to 3,840.18, 5,720.16 and 3,789.16 is: 5,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.18 : 5,720.16 = 3,789.16 : x
  2. Step 2: Convert to fraction form
    3,840.18/5,720.16 = 3,789.16/x
  3. Step 3: Cross multiply
    3,840.18x = 5,720.16 × 3,789.16
  4. Step 4: Simplify right side
    3,840.18x = 21,674,601.47
  5. Step 5: Solve for x
    x = 21,674,601.47/3,840.18
  6. Step 6: Final answer
    x = 5,644.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.