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Finding the Fourth Proportional to 3,646.91, 5,032.61 and 2,053.64

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Solution

The fourth proportional to 3,646.91, 5,032.61 and 2,053.64 is: 2,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.91 : 5,032.61 = 2,053.64 : x
  2. Step 2: Convert to fraction form
    3,646.91/5,032.61 = 2,053.64/x
  3. Step 3: Cross multiply
    3,646.91x = 5,032.61 × 2,053.64
  4. Step 4: Simplify right side
    3,646.91x = 10,335,149.17
  5. Step 5: Solve for x
    x = 10,335,149.17/3,646.91
  6. Step 6: Final answer
    x = 2,833.95

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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.