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Finding the Fourth Proportional to 5,291.63, 7,938.26 and 1,593.78

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Solution

The fourth proportional to 5,291.63, 7,938.26 and 1,593.78 is: 2,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.63 : 7,938.26 = 1,593.78 : x
  2. Step 2: Convert to fraction form
    5,291.63/7,938.26 = 1,593.78/x
  3. Step 3: Cross multiply
    5,291.63x = 7,938.26 × 1,593.78
  4. Step 4: Simplify right side
    5,291.63x = 12,651,832.05
  5. Step 5: Solve for x
    x = 12,651,832.05/5,291.63
  6. Step 6: Final answer
    x = 2,390.92

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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.