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Finding the Fourth Proportional to 5,697.70, 8,543.52 and 2,923.26

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Solution

The fourth proportional to 5,697.70, 8,543.52 and 2,923.26 is: 4,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.70 : 8,543.52 = 2,923.26 : x
  2. Step 2: Convert to fraction form
    5,697.70/8,543.52 = 2,923.26/x
  3. Step 3: Cross multiply
    5,697.70x = 8,543.52 × 2,923.26
  4. Step 4: Simplify right side
    5,697.70x = 24,974,930.28
  5. Step 5: Solve for x
    x = 24,974,930.28/5,697.70
  6. Step 6: Final answer
    x = 4,383.34

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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.