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Finding the Fourth Proportional to 5,404.92, 8,108.46 and 1,707.50

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Solution

The fourth proportional to 5,404.92, 8,108.46 and 1,707.50 is: 2,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.92 : 8,108.46 = 1,707.50 : x
  2. Step 2: Convert to fraction form
    5,404.92/8,108.46 = 1,707.50/x
  3. Step 3: Cross multiply
    5,404.92x = 8,108.46 × 1,707.50
  4. Step 4: Simplify right side
    5,404.92x = 13,845,195.45
  5. Step 5: Solve for x
    x = 13,845,195.45/5,404.92
  6. Step 6: Final answer
    x = 2,561.59

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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.