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Finding the Fourth Proportional to 2,817.87, 3,886.14 and 2,347.33

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Solution

The fourth proportional to 2,817.87, 3,886.14 and 2,347.33 is: 3,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.87 : 3,886.14 = 2,347.33 : x
  2. Step 2: Convert to fraction form
    2,817.87/3,886.14 = 2,347.33/x
  3. Step 3: Cross multiply
    2,817.87x = 3,886.14 × 2,347.33
  4. Step 4: Simplify right side
    2,817.87x = 9,122,053.01
  5. Step 5: Solve for x
    x = 9,122,053.01/2,817.87
  6. Step 6: Final answer
    x = 3,237.22

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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.