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Finding the Fourth Proportional to 5,297.08, 7,922.30 and 4,716.20

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Solution

The fourth proportional to 5,297.08, 7,922.30 and 4,716.20 is: 7,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.08 : 7,922.30 = 4,716.20 : x
  2. Step 2: Convert to fraction form
    5,297.08/7,922.30 = 4,716.20/x
  3. Step 3: Cross multiply
    5,297.08x = 7,922.30 × 4,716.20
  4. Step 4: Simplify right side
    5,297.08x = 37,363,151.26
  5. Step 5: Solve for x
    x = 37,363,151.26/5,297.08
  6. Step 6: Final answer
    x = 7,053.54

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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.