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Finding the Fourth Proportional to 3,577.71, 4,936.19 and 2,085.33

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Solution

The fourth proportional to 3,577.71, 4,936.19 and 2,085.33 is: 2,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.71 : 4,936.19 = 2,085.33 : x
  2. Step 2: Convert to fraction form
    3,577.71/4,936.19 = 2,085.33/x
  3. Step 3: Cross multiply
    3,577.71x = 4,936.19 × 2,085.33
  4. Step 4: Simplify right side
    3,577.71x = 10,293,574.67
  5. Step 5: Solve for x
    x = 10,293,574.67/3,577.71
  6. Step 6: Final answer
    x = 2,877.14

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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.