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Finding the Fourth Proportional to 5,353.48, 8,023.74 and 2,269

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Solution

The fourth proportional to 5,353.48, 8,023.74 and 2,269 is: 3,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.48 : 8,023.74 = 2,269 : x
  2. Step 2: Convert to fraction form
    5,353.48/8,023.74 = 2,269/x
  3. Step 3: Cross multiply
    5,353.48x = 8,023.74 × 2,269
  4. Step 4: Simplify right side
    5,353.48x = 18,205,866.06
  5. Step 5: Solve for x
    x = 18,205,866.06/5,353.48
  6. Step 6: Final answer
    x = 3,400.75

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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.