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Finding the Fourth Proportional to 3,646.89, 5,032.23 and 2,053.49

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Solution

The fourth proportional to 3,646.89, 5,032.23 and 2,053.49 is: 2,833.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.89 : 5,032.23 = 2,053.49 : x
  2. Step 2: Convert to fraction form
    3,646.89/5,032.23 = 2,053.49/x
  3. Step 3: Cross multiply
    3,646.89x = 5,032.23 × 2,053.49
  4. Step 4: Simplify right side
    3,646.89x = 10,333,633.98
  5. Step 5: Solve for x
    x = 10,333,633.98/3,646.89
  6. Step 6: Final answer
    x = 2,833.55

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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.