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Finding the Fourth Proportional to 5,866.97, 8,779.49 and 5,096.06

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Solution

The fourth proportional to 5,866.97, 8,779.49 and 5,096.06 is: 7,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.97 : 8,779.49 = 5,096.06 : x
  2. Step 2: Convert to fraction form
    5,866.97/8,779.49 = 5,096.06/x
  3. Step 3: Cross multiply
    5,866.97x = 8,779.49 × 5,096.06
  4. Step 4: Simplify right side
    5,866.97x = 44,740,738.43
  5. Step 5: Solve for x
    x = 44,740,738.43/5,866.97
  6. Step 6: Final answer
    x = 7,625.87

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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.