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Finding the Fourth Proportional to 5,778.91, 7,975.71 and 3,262.03

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Solution

The fourth proportional to 5,778.91, 7,975.71 and 3,262.03 is: 4,502.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.91 : 7,975.71 = 3,262.03 : x
  2. Step 2: Convert to fraction form
    5,778.91/7,975.71 = 3,262.03/x
  3. Step 3: Cross multiply
    5,778.91x = 7,975.71 × 3,262.03
  4. Step 4: Simplify right side
    5,778.91x = 26,017,005.29
  5. Step 5: Solve for x
    x = 26,017,005.29/5,778.91
  6. Step 6: Final answer
    x = 4,502.06

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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.