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Finding the Fourth Proportional to 3,791.60, 5,235.63 and 2,377.66

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Solution

The fourth proportional to 3,791.60, 5,235.63 and 2,377.66 is: 3,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.60 : 5,235.63 = 2,377.66 : x
  2. Step 2: Convert to fraction form
    3,791.60/5,235.63 = 2,377.66/x
  3. Step 3: Cross multiply
    3,791.60x = 5,235.63 × 2,377.66
  4. Step 4: Simplify right side
    3,791.60x = 12,448,541.17
  5. Step 5: Solve for x
    x = 12,448,541.17/3,791.60
  6. Step 6: Final answer
    x = 3,283.19

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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.