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Finding the Fourth Proportional to 3,656.97, 5,046.71 and 2,085.03

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Solution

The fourth proportional to 3,656.97, 5,046.71 and 2,085.03 is: 2,877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.97 : 5,046.71 = 2,085.03 : x
  2. Step 2: Convert to fraction form
    3,656.97/5,046.71 = 2,085.03/x
  3. Step 3: Cross multiply
    3,656.97x = 5,046.71 × 2,085.03
  4. Step 4: Simplify right side
    3,656.97x = 10,522,541.75
  5. Step 5: Solve for x
    x = 10,522,541.75/3,656.97
  6. Step 6: Final answer
    x = 2,877.39

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Why These Related Problems?

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