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Finding the Fourth Proportional to 5,265.74, 7,896.11 and 1,566.68

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Solution

The fourth proportional to 5,265.74, 7,896.11 and 1,566.68 is: 2,349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.74 : 7,896.11 = 1,566.68 : x
  2. Step 2: Convert to fraction form
    5,265.74/7,896.11 = 1,566.68/x
  3. Step 3: Cross multiply
    5,265.74x = 7,896.11 × 1,566.68
  4. Step 4: Simplify right side
    5,265.74x = 12,370,630.30
  5. Step 5: Solve for x
    x = 12,370,630.30/5,265.74
  6. Step 6: Final answer
    x = 2,349.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.