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Finding the Fourth Proportional to 5,785.99, 8,679.04 and 1,403.49

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Solution

The fourth proportional to 5,785.99, 8,679.04 and 1,403.49 is: 2,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.99 : 8,679.04 = 1,403.49 : x
  2. Step 2: Convert to fraction form
    5,785.99/8,679.04 = 1,403.49/x
  3. Step 3: Cross multiply
    5,785.99x = 8,679.04 × 1,403.49
  4. Step 4: Simplify right side
    5,785.99x = 12,180,909.79
  5. Step 5: Solve for x
    x = 12,180,909.79/5,785.99
  6. Step 6: Final answer
    x = 2,105.24

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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.