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Finding the Fourth Proportional to 5,645.28, 7,790.40 and 3,287.28

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Solution

The fourth proportional to 5,645.28, 7,790.40 and 3,287.28 is: 4,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.28 : 7,790.40 = 3,287.28 : x
  2. Step 2: Convert to fraction form
    5,645.28/7,790.40 = 3,287.28/x
  3. Step 3: Cross multiply
    5,645.28x = 7,790.40 × 3,287.28
  4. Step 4: Simplify right side
    5,645.28x = 25,609,226.11
  5. Step 5: Solve for x
    x = 25,609,226.11/5,645.28
  6. Step 6: Final answer
    x = 4,536.40

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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.