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Finding the Fourth Proportional to 3,237.04, 4,857.90 and 1,288.12

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Solution

The fourth proportional to 3,237.04, 4,857.90 and 1,288.12 is: 1,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.04 : 4,857.90 = 1,288.12 : x
  2. Step 2: Convert to fraction form
    3,237.04/4,857.90 = 1,288.12/x
  3. Step 3: Cross multiply
    3,237.04x = 4,857.90 × 1,288.12
  4. Step 4: Simplify right side
    3,237.04x = 6,257,558.15
  5. Step 5: Solve for x
    x = 6,257,558.15/3,237.04
  6. Step 6: Final answer
    x = 1,933.11

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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.