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Finding the Fourth Proportional to 3,565.26, 5,379.53 and 3,565.26

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Solution

The fourth proportional to 3,565.26, 5,379.53 and 3,565.26 is: 5,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.26 : 5,379.53 = 3,565.26 : x
  2. Step 2: Convert to fraction form
    3,565.26/5,379.53 = 3,565.26/x
  3. Step 3: Cross multiply
    3,565.26x = 5,379.53 × 3,565.26
  4. Step 4: Simplify right side
    3,565.26x = 19,179,423.13
  5. Step 5: Solve for x
    x = 19,179,423.13/3,565.26
  6. Step 6: Final answer
    x = 5,379.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.