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Finding the Fourth Proportional to 3,701.78, 5,541.04 and 2,053.02

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Solution

The fourth proportional to 3,701.78, 5,541.04 and 2,053.02 is: 3,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.78 : 5,541.04 = 2,053.02 : x
  2. Step 2: Convert to fraction form
    3,701.78/5,541.04 = 2,053.02/x
  3. Step 3: Cross multiply
    3,701.78x = 5,541.04 × 2,053.02
  4. Step 4: Simplify right side
    3,701.78x = 11,375,865.94
  5. Step 5: Solve for x
    x = 11,375,865.94/3,701.78
  6. Step 6: Final answer
    x = 3,073.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.