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Finding the Fourth Proportional to 5,268.30, 7,894.90 and 3,870.66

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Solution

The fourth proportional to 5,268.30, 7,894.90 and 3,870.66 is: 5,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.30 : 7,894.90 = 3,870.66 : x
  2. Step 2: Convert to fraction form
    5,268.30/7,894.90 = 3,870.66/x
  3. Step 3: Cross multiply
    5,268.30x = 7,894.90 × 3,870.66
  4. Step 4: Simplify right side
    5,268.30x = 30,558,473.63
  5. Step 5: Solve for x
    x = 30,558,473.63/5,268.30
  6. Step 6: Final answer
    x = 5,800.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.