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Finding the Fourth Proportional to 3,111.62, 4,666.41 and 2,419.07

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Solution

The fourth proportional to 3,111.62, 4,666.41 and 2,419.07 is: 3,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.62 : 4,666.41 = 2,419.07 : x
  2. Step 2: Convert to fraction form
    3,111.62/4,666.41 = 2,419.07/x
  3. Step 3: Cross multiply
    3,111.62x = 4,666.41 × 2,419.07
  4. Step 4: Simplify right side
    3,111.62x = 11,288,349.11
  5. Step 5: Solve for x
    x = 11,288,349.11/3,111.62
  6. Step 6: Final answer
    x = 3,627.81

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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.