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Finding the Fourth Proportional to 5,622.69, 7,758.69 and 3,264.36

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Solution

The fourth proportional to 5,622.69, 7,758.69 and 3,264.36 is: 4,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.69 : 7,758.69 = 3,264.36 : x
  2. Step 2: Convert to fraction form
    5,622.69/7,758.69 = 3,264.36/x
  3. Step 3: Cross multiply
    5,622.69x = 7,758.69 × 3,264.36
  4. Step 4: Simplify right side
    5,622.69x = 25,327,157.29
  5. Step 5: Solve for x
    x = 25,327,157.29/5,622.69
  6. Step 6: Final answer
    x = 4,504.46

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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.