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Finding the Fourth Proportional to 5,609.96, 8,411.26 and 3,145.04

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Solution

The fourth proportional to 5,609.96, 8,411.26 and 3,145.04 is: 4,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.96 : 8,411.26 = 3,145.04 : x
  2. Step 2: Convert to fraction form
    5,609.96/8,411.26 = 3,145.04/x
  3. Step 3: Cross multiply
    5,609.96x = 8,411.26 × 3,145.04
  4. Step 4: Simplify right side
    5,609.96x = 26,453,749.15
  5. Step 5: Solve for x
    x = 26,453,749.15/5,609.96
  6. Step 6: Final answer
    x = 4,715.50

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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.