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Finding the Fourth Proportional to 5,609.30, 8,404.72 and 3,411.41

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Solution

The fourth proportional to 5,609.30, 8,404.72 and 3,411.41 is: 5,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.30 : 8,404.72 = 3,411.41 : x
  2. Step 2: Convert to fraction form
    5,609.30/8,404.72 = 3,411.41/x
  3. Step 3: Cross multiply
    5,609.30x = 8,404.72 × 3,411.41
  4. Step 4: Simplify right side
    5,609.30x = 28,671,945.86
  5. Step 5: Solve for x
    x = 28,671,945.86/5,609.30
  6. Step 6: Final answer
    x = 5,111.50

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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.