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Finding the Fourth Proportional to 5,757.68, 8,636.50 and 1,597.68

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Solution

The fourth proportional to 5,757.68, 8,636.50 and 1,597.68 is: 2,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.68 : 8,636.50 = 1,597.68 : x
  2. Step 2: Convert to fraction form
    5,757.68/8,636.50 = 1,597.68/x
  3. Step 3: Cross multiply
    5,757.68x = 8,636.50 × 1,597.68
  4. Step 4: Simplify right side
    5,757.68x = 13,798,363.32
  5. Step 5: Solve for x
    x = 13,798,363.32/5,757.68
  6. Step 6: Final answer
    x = 2,396.51

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1.5x scale

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.