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Finding the Fourth Proportional to 3,731.84, 5,149.97 and 2,053.35

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Solution

The fourth proportional to 3,731.84, 5,149.97 and 2,053.35 is: 2,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.84 : 5,149.97 = 2,053.35 : x
  2. Step 2: Convert to fraction form
    3,731.84/5,149.97 = 2,053.35/x
  3. Step 3: Cross multiply
    3,731.84x = 5,149.97 × 2,053.35
  4. Step 4: Simplify right side
    3,731.84x = 10,574,680.63
  5. Step 5: Solve for x
    x = 10,574,680.63/3,731.84
  6. Step 6: Final answer
    x = 2,833.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.