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Finding the Fourth Proportional to 3,646.58, 5,032.37 and 1,990.58

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Solution

The fourth proportional to 3,646.58, 5,032.37 and 1,990.58 is: 2,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.58 : 5,032.37 = 1,990.58 : x
  2. Step 2: Convert to fraction form
    3,646.58/5,032.37 = 1,990.58/x
  3. Step 3: Cross multiply
    3,646.58x = 5,032.37 × 1,990.58
  4. Step 4: Simplify right side
    3,646.58x = 10,017,335.07
  5. Step 5: Solve for x
    x = 10,017,335.07/3,646.58
  6. Step 6: Final answer
    x = 2,747.05

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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.