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Finding the Fourth Proportional to 3,153.91, 4,726.02 and 1,838.07

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Solution

The fourth proportional to 3,153.91, 4,726.02 and 1,838.07 is: 2,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.91 : 4,726.02 = 1,838.07 : x
  2. Step 2: Convert to fraction form
    3,153.91/4,726.02 = 1,838.07/x
  3. Step 3: Cross multiply
    3,153.91x = 4,726.02 × 1,838.07
  4. Step 4: Simplify right side
    3,153.91x = 8,686,755.58
  5. Step 5: Solve for x
    x = 8,686,755.58/3,153.91
  6. Step 6: Final answer
    x = 2,754.28

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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.