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Finding the Fourth Proportional to 3,897.51, 5,377.75 and 2,219.19

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Solution

The fourth proportional to 3,897.51, 5,377.75 and 2,219.19 is: 3,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.51 : 5,377.75 = 2,219.19 : x
  2. Step 2: Convert to fraction form
    3,897.51/5,377.75 = 2,219.19/x
  3. Step 3: Cross multiply
    3,897.51x = 5,377.75 × 2,219.19
  4. Step 4: Simplify right side
    3,897.51x = 11,934,249.02
  5. Step 5: Solve for x
    x = 11,934,249.02/3,897.51
  6. Step 6: Final answer
    x = 3,062.02

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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.