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Finding the Fourth Proportional to 3,567.28, 5,370.76 and 3,091

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Solution

The fourth proportional to 3,567.28, 5,370.76 and 3,091 is: 4,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.28 : 5,370.76 = 3,091 : x
  2. Step 2: Convert to fraction form
    3,567.28/5,370.76 = 3,091/x
  3. Step 3: Cross multiply
    3,567.28x = 5,370.76 × 3,091
  4. Step 4: Simplify right side
    3,567.28x = 16,601,019.16
  5. Step 5: Solve for x
    x = 16,601,019.16/3,567.28
  6. Step 6: Final answer
    x = 4,653.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.