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Finding the Fourth Proportional to 5,682.15, 8,526.02 and 2,564.31

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Solution

The fourth proportional to 5,682.15, 8,526.02 and 2,564.31 is: 3,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.15 : 8,526.02 = 2,564.31 : x
  2. Step 2: Convert to fraction form
    5,682.15/8,526.02 = 2,564.31/x
  3. Step 3: Cross multiply
    5,682.15x = 8,526.02 × 2,564.31
  4. Step 4: Simplify right side
    5,682.15x = 21,863,345.52
  5. Step 5: Solve for x
    x = 21,863,345.52/5,682.15
  6. Step 6: Final answer
    x = 3,847.72

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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.