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Finding the Fourth Proportional to 3,646.78, 5,032.44 and 2,053.52

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Solution

The fourth proportional to 3,646.78, 5,032.44 and 2,053.52 is: 2,833.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.78 : 5,032.44 = 2,053.52 : x
  2. Step 2: Convert to fraction form
    3,646.78/5,032.44 = 2,053.52/x
  3. Step 3: Cross multiply
    3,646.78x = 5,032.44 × 2,053.52
  4. Step 4: Simplify right side
    3,646.78x = 10,334,216.19
  5. Step 5: Solve for x
    x = 10,334,216.19/3,646.78
  6. Step 6: Final answer
    x = 2,833.79

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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.