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Finding the Fourth Proportional to 5,658.02, 7,805.93 and 4,169.49

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Solution

The fourth proportional to 5,658.02, 7,805.93 and 4,169.49 is: 5,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.02 : 7,805.93 = 4,169.49 : x
  2. Step 2: Convert to fraction form
    5,658.02/7,805.93 = 4,169.49/x
  3. Step 3: Cross multiply
    5,658.02x = 7,805.93 × 4,169.49
  4. Step 4: Simplify right side
    5,658.02x = 32,546,747.08
  5. Step 5: Solve for x
    x = 32,546,747.08/5,658.02
  6. Step 6: Final answer
    x = 5,752.32

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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.