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Finding the Fourth Proportional to 5,623.76, 8,434.92 and 1,728.08

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Solution

The fourth proportional to 5,623.76, 8,434.92 and 1,728.08 is: 2,591.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.76 : 8,434.92 = 1,728.08 : x
  2. Step 2: Convert to fraction form
    5,623.76/8,434.92 = 1,728.08/x
  3. Step 3: Cross multiply
    5,623.76x = 8,434.92 × 1,728.08
  4. Step 4: Simplify right side
    5,623.76x = 14,576,216.55
  5. Step 5: Solve for x
    x = 14,576,216.55/5,623.76
  6. Step 6: Final answer
    x = 2,591.90

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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.