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Finding the Fourth Proportional to 3,856.86, 5,779.08 and 2,005.20

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Solution

The fourth proportional to 3,856.86, 5,779.08 and 2,005.20 is: 3,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.86 : 5,779.08 = 2,005.20 : x
  2. Step 2: Convert to fraction form
    3,856.86/5,779.08 = 2,005.20/x
  3. Step 3: Cross multiply
    3,856.86x = 5,779.08 × 2,005.20
  4. Step 4: Simplify right side
    3,856.86x = 11,588,211.22
  5. Step 5: Solve for x
    x = 11,588,211.22/3,856.86
  6. Step 6: Final answer
    x = 3,004.57

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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.