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Finding the Fourth Proportional to 3,238.42, 4,857.73 and 1,047.16

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Solution

The fourth proportional to 3,238.42, 4,857.73 and 1,047.16 is: 1,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.42 : 4,857.73 = 1,047.16 : x
  2. Step 2: Convert to fraction form
    3,238.42/4,857.73 = 1,047.16/x
  3. Step 3: Cross multiply
    3,238.42x = 4,857.73 × 1,047.16
  4. Step 4: Simplify right side
    3,238.42x = 5,086,820.55
  5. Step 5: Solve for x
    x = 5,086,820.55/3,238.42
  6. Step 6: Final answer
    x = 1,570.77

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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.