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Finding the Fourth Proportional to 5,634.97, 7,779.19 and 5,262.27

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Solution

The fourth proportional to 5,634.97, 7,779.19 and 5,262.27 is: 7,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.97 : 7,779.19 = 5,262.27 : x
  2. Step 2: Convert to fraction form
    5,634.97/7,779.19 = 5,262.27/x
  3. Step 3: Cross multiply
    5,634.97x = 7,779.19 × 5,262.27
  4. Step 4: Simplify right side
    5,634.97x = 40,936,165.70
  5. Step 5: Solve for x
    x = 40,936,165.70/5,634.97
  6. Step 6: Final answer
    x = 7,264.67

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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.