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Finding the Fourth Proportional to 3,615.86, 5,415.12 and 1,856.24

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Solution

The fourth proportional to 3,615.86, 5,415.12 and 1,856.24 is: 2,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.86 : 5,415.12 = 1,856.24 : x
  2. Step 2: Convert to fraction form
    3,615.86/5,415.12 = 1,856.24/x
  3. Step 3: Cross multiply
    3,615.86x = 5,415.12 × 1,856.24
  4. Step 4: Simplify right side
    3,615.86x = 10,051,735.27
  5. Step 5: Solve for x
    x = 10,051,735.27/3,615.86
  6. Step 6: Final answer
    x = 2,779.91

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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.