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Finding the Fourth Proportional to 5,482.74, 7,564.34 and 3,092.43

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Solution

The fourth proportional to 5,482.74, 7,564.34 and 3,092.43 is: 4,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.74 : 7,564.34 = 3,092.43 : x
  2. Step 2: Convert to fraction form
    5,482.74/7,564.34 = 3,092.43/x
  3. Step 3: Cross multiply
    5,482.74x = 7,564.34 × 3,092.43
  4. Step 4: Simplify right side
    5,482.74x = 23,392,168.10
  5. Step 5: Solve for x
    x = 23,392,168.10/5,482.74
  6. Step 6: Final answer
    x = 4,266.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.