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Finding the Fourth Proportional to 3,725.51, 5,141.13 and 2,046.91

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Solution

The fourth proportional to 3,725.51, 5,141.13 and 2,046.91 is: 2,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.51 : 5,141.13 = 2,046.91 : x
  2. Step 2: Convert to fraction form
    3,725.51/5,141.13 = 2,046.91/x
  3. Step 3: Cross multiply
    3,725.51x = 5,141.13 × 2,046.91
  4. Step 4: Simplify right side
    3,725.51x = 10,523,430.41
  5. Step 5: Solve for x
    x = 10,523,430.41/3,725.51
  6. Step 6: Final answer
    x = 2,824.70

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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.