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Finding the Fourth Proportional to 5,351.69, 8,027.57 and 1,653.84

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Solution

The fourth proportional to 5,351.69, 8,027.57 and 1,653.84 is: 2,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.69 : 8,027.57 = 1,653.84 : x
  2. Step 2: Convert to fraction form
    5,351.69/8,027.57 = 1,653.84/x
  3. Step 3: Cross multiply
    5,351.69x = 8,027.57 × 1,653.84
  4. Step 4: Simplify right side
    5,351.69x = 13,276,320.50
  5. Step 5: Solve for x
    x = 13,276,320.50/5,351.69
  6. Step 6: Final answer
    x = 2,480.77

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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.