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Finding the Fourth Proportional to 4,894.38, 7,340.64 and 2,261.77

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Solution

The fourth proportional to 4,894.38, 7,340.64 and 2,261.77 is: 3,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.38 : 7,340.64 = 2,261.77 : x
  2. Step 2: Convert to fraction form
    4,894.38/7,340.64 = 2,261.77/x
  3. Step 3: Cross multiply
    4,894.38x = 7,340.64 × 2,261.77
  4. Step 4: Simplify right side
    4,894.38x = 16,602,839.33
  5. Step 5: Solve for x
    x = 16,602,839.33/4,894.38
  6. Step 6: Final answer
    x = 3,392.23

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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.