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Finding the Fourth Proportional to 5,264.82, 7,896.42 and 1,566.36

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Solution

The fourth proportional to 5,264.82, 7,896.42 and 1,566.36 is: 2,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.82 : 7,896.42 = 1,566.36 : x
  2. Step 2: Convert to fraction form
    5,264.82/7,896.42 = 1,566.36/x
  3. Step 3: Cross multiply
    5,264.82x = 7,896.42 × 1,566.36
  4. Step 4: Simplify right side
    5,264.82x = 12,368,636.43
  5. Step 5: Solve for x
    x = 12,368,636.43/5,264.82
  6. Step 6: Final answer
    x = 2,349.30

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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.