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Finding the Fourth Proportional to 3,749.86, 5,624.49 and 1,558.49

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Solution

The fourth proportional to 3,749.86, 5,624.49 and 1,558.49 is: 2,337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.86 : 5,624.49 = 1,558.49 : x
  2. Step 2: Convert to fraction form
    3,749.86/5,624.49 = 1,558.49/x
  3. Step 3: Cross multiply
    3,749.86x = 5,624.49 × 1,558.49
  4. Step 4: Simplify right side
    3,749.86x = 8,765,711.42
  5. Step 5: Solve for x
    x = 8,765,711.42/3,749.86
  6. Step 6: Final answer
    x = 2,337.61

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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.