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Finding the Fourth Proportional to 3,614.86, 4,987.71 and 2,102.19

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Solution

The fourth proportional to 3,614.86, 4,987.71 and 2,102.19 is: 2,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.86 : 4,987.71 = 2,102.19 : x
  2. Step 2: Convert to fraction form
    3,614.86/4,987.71 = 2,102.19/x
  3. Step 3: Cross multiply
    3,614.86x = 4,987.71 × 2,102.19
  4. Step 4: Simplify right side
    3,614.86x = 10,485,114.08
  5. Step 5: Solve for x
    x = 10,485,114.08/3,614.86
  6. Step 6: Final answer
    x = 2,900.56

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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.