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Finding the Fourth Proportional to 3,614.51, 4,982.05 and 2,419.07

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Solution

The fourth proportional to 3,614.51, 4,982.05 and 2,419.07 is: 3,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.51 : 4,982.05 = 2,419.07 : x
  2. Step 2: Convert to fraction form
    3,614.51/4,982.05 = 2,419.07/x
  3. Step 3: Cross multiply
    3,614.51x = 4,982.05 × 2,419.07
  4. Step 4: Simplify right side
    3,614.51x = 12,051,902.78
  5. Step 5: Solve for x
    x = 12,051,902.78/3,614.51
  6. Step 6: Final answer
    x = 3,334.32

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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.