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Finding the Fourth Proportional to 3,237.66, 4,857.72 and 1,291.23

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Solution

The fourth proportional to 3,237.66, 4,857.72 and 1,291.23 is: 1,937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.66 : 4,857.72 = 1,291.23 : x
  2. Step 2: Convert to fraction form
    3,237.66/4,857.72 = 1,291.23/x
  3. Step 3: Cross multiply
    3,237.66x = 4,857.72 × 1,291.23
  4. Step 4: Simplify right side
    3,237.66x = 6,272,433.80
  5. Step 5: Solve for x
    x = 6,272,433.80/3,237.66
  6. Step 6: Final answer
    x = 1,937.34

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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.