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Finding the Fourth Proportional to 5,694.26, 8,541.38 and 1,590.26

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Solution

The fourth proportional to 5,694.26, 8,541.38 and 1,590.26 is: 2,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.26 : 8,541.38 = 1,590.26 : x
  2. Step 2: Convert to fraction form
    5,694.26/8,541.38 = 1,590.26/x
  3. Step 3: Cross multiply
    5,694.26x = 8,541.38 × 1,590.26
  4. Step 4: Simplify right side
    5,694.26x = 13,583,014.96
  5. Step 5: Solve for x
    x = 13,583,014.96/5,694.26
  6. Step 6: Final answer
    x = 2,385.39

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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.