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Finding the Fourth Proportional to 5,237.60, 7,857.20 and 3,261.71

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Solution

The fourth proportional to 5,237.60, 7,857.20 and 3,261.71 is: 4,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.60 : 7,857.20 = 3,261.71 : x
  2. Step 2: Convert to fraction form
    5,237.60/7,857.20 = 3,261.71/x
  3. Step 3: Cross multiply
    5,237.60x = 7,857.20 × 3,261.71
  4. Step 4: Simplify right side
    5,237.60x = 25,627,935.61
  5. Step 5: Solve for x
    x = 25,627,935.61/5,237.60
  6. Step 6: Final answer
    x = 4,893.07

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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.