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Finding the Fourth Proportional to 5,758.24, 7,934.60 and 5,333

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Solution

The fourth proportional to 5,758.24, 7,934.60 and 5,333 is: 7,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.24 : 7,934.60 = 5,333 : x
  2. Step 2: Convert to fraction form
    5,758.24/7,934.60 = 5,333/x
  3. Step 3: Cross multiply
    5,758.24x = 7,934.60 × 5,333
  4. Step 4: Simplify right side
    5,758.24x = 42,315,221.80
  5. Step 5: Solve for x
    x = 42,315,221.80/5,758.24
  6. Step 6: Final answer
    x = 7,348.64

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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.