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Finding the Fourth Proportional to 5,689.30, 8,536.65 and 2,570.26

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Solution

The fourth proportional to 5,689.30, 8,536.65 and 2,570.26 is: 3,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.30 : 8,536.65 = 2,570.26 : x
  2. Step 2: Convert to fraction form
    5,689.30/8,536.65 = 2,570.26/x
  3. Step 3: Cross multiply
    5,689.30x = 8,536.65 × 2,570.26
  4. Step 4: Simplify right side
    5,689.30x = 21,941,378.27
  5. Step 5: Solve for x
    x = 21,941,378.27/5,689.30
  6. Step 6: Final answer
    x = 3,856.61

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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.