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Finding the Fourth Proportional to 5,788.37, 8,682.56 and 1,405.83

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Solution

The fourth proportional to 5,788.37, 8,682.56 and 1,405.83 is: 2,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.37 : 8,682.56 = 1,405.83 : x
  2. Step 2: Convert to fraction form
    5,788.37/8,682.56 = 1,405.83/x
  3. Step 3: Cross multiply
    5,788.37x = 8,682.56 × 1,405.83
  4. Step 4: Simplify right side
    5,788.37x = 12,206,203.32
  5. Step 5: Solve for x
    x = 12,206,203.32/5,788.37
  6. Step 6: Final answer
    x = 2,108.75

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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.