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Finding the Fourth Proportional to 5,782.86, 8,671.01 and 1,833.39

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Solution

The fourth proportional to 5,782.86, 8,671.01 and 1,833.39 is: 2,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.86 : 8,671.01 = 1,833.39 : x
  2. Step 2: Convert to fraction form
    5,782.86/8,671.01 = 1,833.39/x
  3. Step 3: Cross multiply
    5,782.86x = 8,671.01 × 1,833.39
  4. Step 4: Simplify right side
    5,782.86x = 15,897,333.86
  5. Step 5: Solve for x
    x = 15,897,333.86/5,782.86
  6. Step 6: Final answer
    x = 2,749.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.