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Finding the Fourth Proportional to 5,584.32, 8,370.99 and 2,071.74

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Solution

The fourth proportional to 5,584.32, 8,370.99 and 2,071.74 is: 3,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.32 : 8,370.99 = 2,071.74 : x
  2. Step 2: Convert to fraction form
    5,584.32/8,370.99 = 2,071.74/x
  3. Step 3: Cross multiply
    5,584.32x = 8,370.99 × 2,071.74
  4. Step 4: Simplify right side
    5,584.32x = 17,342,514.82
  5. Step 5: Solve for x
    x = 17,342,514.82/5,584.32
  6. Step 6: Final answer
    x = 3,105.57

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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.