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Finding the Fourth Proportional to 4,614.02, 6,365.13 and 3,019.97

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Solution

The fourth proportional to 4,614.02, 6,365.13 and 3,019.97 is: 4,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.02 : 6,365.13 = 3,019.97 : x
  2. Step 2: Convert to fraction form
    4,614.02/6,365.13 = 3,019.97/x
  3. Step 3: Cross multiply
    4,614.02x = 6,365.13 × 3,019.97
  4. Step 4: Simplify right side
    4,614.02x = 19,222,475.48
  5. Step 5: Solve for x
    x = 19,222,475.48/4,614.02
  6. Step 6: Final answer
    x = 4,166.10

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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.