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Finding the Fourth Proportional to 5,600.96, 8,402.69 and 1,705.67

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Solution

The fourth proportional to 5,600.96, 8,402.69 and 1,705.67 is: 2,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.96 : 8,402.69 = 1,705.67 : x
  2. Step 2: Convert to fraction form
    5,600.96/8,402.69 = 1,705.67/x
  3. Step 3: Cross multiply
    5,600.96x = 8,402.69 × 1,705.67
  4. Step 4: Simplify right side
    5,600.96x = 14,332,216.25
  5. Step 5: Solve for x
    x = 14,332,216.25/5,600.96
  6. Step 6: Final answer
    x = 2,558.89

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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.