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Finding the Fourth Proportional to 5,609.50, 8,417.03 and 4,125.06

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Solution

The fourth proportional to 5,609.50, 8,417.03 and 4,125.06 is: 6,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.50 : 8,417.03 = 4,125.06 : x
  2. Step 2: Convert to fraction form
    5,609.50/8,417.03 = 4,125.06/x
  3. Step 3: Cross multiply
    5,609.50x = 8,417.03 × 4,125.06
  4. Step 4: Simplify right side
    5,609.50x = 34,720,733.15
  5. Step 5: Solve for x
    x = 34,720,733.15/5,609.50
  6. Step 6: Final answer
    x = 6,189.63

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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.