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Finding the Fourth Proportional to 3,766.68, 5,197.91 and 2,088.06

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Solution

The fourth proportional to 3,766.68, 5,197.91 and 2,088.06 is: 2,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.68 : 5,197.91 = 2,088.06 : x
  2. Step 2: Convert to fraction form
    3,766.68/5,197.91 = 2,088.06/x
  3. Step 3: Cross multiply
    3,766.68x = 5,197.91 × 2,088.06
  4. Step 4: Simplify right side
    3,766.68x = 10,853,537.51
  5. Step 5: Solve for x
    x = 10,853,537.51/3,766.68
  6. Step 6: Final answer
    x = 2,881.46

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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.