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Finding the Fourth Proportional to 5,188.44, 7,784.22 and 1,725.72

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Solution

The fourth proportional to 5,188.44, 7,784.22 and 1,725.72 is: 2,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.44 : 7,784.22 = 1,725.72 : x
  2. Step 2: Convert to fraction form
    5,188.44/7,784.22 = 1,725.72/x
  3. Step 3: Cross multiply
    5,188.44x = 7,784.22 × 1,725.72
  4. Step 4: Simplify right side
    5,188.44x = 13,433,384.14
  5. Step 5: Solve for x
    x = 13,433,384.14/5,188.44
  6. Step 6: Final answer
    x = 2,589.10

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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.