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Finding the Fourth Proportional to 3,646.80, 5,030.82 and 3,149.28

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Solution

The fourth proportional to 3,646.80, 5,030.82 and 3,149.28 is: 4,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.80 : 5,030.82 = 3,149.28 : x
  2. Step 2: Convert to fraction form
    3,646.80/5,030.82 = 3,149.28/x
  3. Step 3: Cross multiply
    3,646.80x = 5,030.82 × 3,149.28
  4. Step 4: Simplify right side
    3,646.80x = 15,843,460.81
  5. Step 5: Solve for x
    x = 15,843,460.81/3,646.80
  6. Step 6: Final answer
    x = 4,344.48

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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.