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Finding the Fourth Proportional to 4,009.46, 6,014.41 and 1,238.04

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Solution

The fourth proportional to 4,009.46, 6,014.41 and 1,238.04 is: 1,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.46 : 6,014.41 = 1,238.04 : x
  2. Step 2: Convert to fraction form
    4,009.46/6,014.41 = 1,238.04/x
  3. Step 3: Cross multiply
    4,009.46x = 6,014.41 × 1,238.04
  4. Step 4: Simplify right side
    4,009.46x = 7,446,080.16
  5. Step 5: Solve for x
    x = 7,446,080.16/4,009.46
  6. Step 6: Final answer
    x = 1,857.13

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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.