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Finding the Fourth Proportional to 5,790.91, 8,686.37 and 1,408.34

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Solution

The fourth proportional to 5,790.91, 8,686.37 and 1,408.34 is: 2,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.91 : 8,686.37 = 1,408.34 : x
  2. Step 2: Convert to fraction form
    5,790.91/8,686.37 = 1,408.34/x
  3. Step 3: Cross multiply
    5,790.91x = 8,686.37 × 1,408.34
  4. Step 4: Simplify right side
    5,790.91x = 12,233,311.85
  5. Step 5: Solve for x
    x = 12,233,311.85/5,790.91
  6. Step 6: Final answer
    x = 2,112.50

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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.