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Finding the Fourth Proportional to 5,194.53, 7,790.58 and 1,731.78

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Solution

The fourth proportional to 5,194.53, 7,790.58 and 1,731.78 is: 2,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.53 : 7,790.58 = 1,731.78 : x
  2. Step 2: Convert to fraction form
    5,194.53/7,790.58 = 1,731.78/x
  3. Step 3: Cross multiply
    5,194.53x = 7,790.58 × 1,731.78
  4. Step 4: Simplify right side
    5,194.53x = 13,491,570.63
  5. Step 5: Solve for x
    x = 13,491,570.63/5,194.53
  6. Step 6: Final answer
    x = 2,597.26

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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.