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Finding the Fourth Proportional to 3,799.61, 5,242.23 and 2,120.75

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Solution

The fourth proportional to 3,799.61, 5,242.23 and 2,120.75 is: 2,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.61 : 5,242.23 = 2,120.75 : x
  2. Step 2: Convert to fraction form
    3,799.61/5,242.23 = 2,120.75/x
  3. Step 3: Cross multiply
    3,799.61x = 5,242.23 × 2,120.75
  4. Step 4: Simplify right side
    3,799.61x = 11,117,433.06
  5. Step 5: Solve for x
    x = 11,117,433.06/3,799.61
  6. Step 6: Final answer
    x = 2,925.94

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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.