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Finding the Fourth Proportional to 5,533, 8,302.05 and 2,569.54

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Solution

The fourth proportional to 5,533, 8,302.05 and 2,569.54 is: 3,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533 : 8,302.05 = 2,569.54 : x
  2. Step 2: Convert to fraction form
    5,533/8,302.05 = 2,569.54/x
  3. Step 3: Cross multiply
    5,533x = 8,302.05 × 2,569.54
  4. Step 4: Simplify right side
    5,533x = 21,332,449.56
  5. Step 5: Solve for x
    x = 21,332,449.56/5,533
  6. Step 6: Final answer
    x = 3,855.49

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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.