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Finding the Fourth Proportional to 5,757.90, 8,636 and 1,597.48

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Solution

The fourth proportional to 5,757.90, 8,636 and 1,597.48 is: 2,395.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.90 : 8,636 = 1,597.48 : x
  2. Step 2: Convert to fraction form
    5,757.90/8,636 = 1,597.48/x
  3. Step 3: Cross multiply
    5,757.90x = 8,636 × 1,597.48
  4. Step 4: Simplify right side
    5,757.90x = 13,795,837.28
  5. Step 5: Solve for x
    x = 13,795,837.28/5,757.90
  6. Step 6: Final answer
    x = 2,395.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.