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Finding the Fourth Proportional to 3,779.46, 5,216.41 and 2,415.86

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Solution

The fourth proportional to 3,779.46, 5,216.41 and 2,415.86 is: 3,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.46 : 5,216.41 = 2,415.86 : x
  2. Step 2: Convert to fraction form
    3,779.46/5,216.41 = 2,415.86/x
  3. Step 3: Cross multiply
    3,779.46x = 5,216.41 × 2,415.86
  4. Step 4: Simplify right side
    3,779.46x = 12,602,116.26
  5. Step 5: Solve for x
    x = 12,602,116.26/3,779.46
  6. Step 6: Final answer
    x = 3,334.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.