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Finding the Fourth Proportional to 3,661.77, 5,053.14 and 2,068.49

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Solution

The fourth proportional to 3,661.77, 5,053.14 and 2,068.49 is: 2,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.77 : 5,053.14 = 2,068.49 : x
  2. Step 2: Convert to fraction form
    3,661.77/5,053.14 = 2,068.49/x
  3. Step 3: Cross multiply
    3,661.77x = 5,053.14 × 2,068.49
  4. Step 4: Simplify right side
    3,661.77x = 10,452,344.29
  5. Step 5: Solve for x
    x = 10,452,344.29/3,661.77
  6. Step 6: Final answer
    x = 2,854.45

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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.