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Finding the Fourth Proportional to 5,646.06, 7,791.58 and 3,128.11

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Solution

The fourth proportional to 5,646.06, 7,791.58 and 3,128.11 is: 4,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.06 : 7,791.58 = 3,128.11 : x
  2. Step 2: Convert to fraction form
    5,646.06/7,791.58 = 3,128.11/x
  3. Step 3: Cross multiply
    5,646.06x = 7,791.58 × 3,128.11
  4. Step 4: Simplify right side
    5,646.06x = 24,372,919.31
  5. Step 5: Solve for x
    x = 24,372,919.31/5,646.06
  6. Step 6: Final answer
    x = 4,316.80

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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.