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Finding the Fourth Proportional to 5,610.22, 8,416.60 and 1,862

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Solution

The fourth proportional to 5,610.22, 8,416.60 and 1,862 is: 2,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.22 : 8,416.60 = 1,862 : x
  2. Step 2: Convert to fraction form
    5,610.22/8,416.60 = 1,862/x
  3. Step 3: Cross multiply
    5,610.22x = 8,416.60 × 1,862
  4. Step 4: Simplify right side
    5,610.22x = 15,671,709.20
  5. Step 5: Solve for x
    x = 15,671,709.20/5,610.22
  6. Step 6: Final answer
    x = 2,793.42

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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.