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Finding the Fourth Proportional to 3,237.64, 4,857.14 and 1,572.96

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Solution

The fourth proportional to 3,237.64, 4,857.14 and 1,572.96 is: 2,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.64 : 4,857.14 = 1,572.96 : x
  2. Step 2: Convert to fraction form
    3,237.64/4,857.14 = 1,572.96/x
  3. Step 3: Cross multiply
    3,237.64x = 4,857.14 × 1,572.96
  4. Step 4: Simplify right side
    3,237.64x = 7,640,086.93
  5. Step 5: Solve for x
    x = 7,640,086.93/3,237.64
  6. Step 6: Final answer
    x = 2,359.77

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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.