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Finding the Fourth Proportional to 3,779.16, 5,214.65 and 2,185.22

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Solution

The fourth proportional to 3,779.16, 5,214.65 and 2,185.22 is: 3,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.16 : 5,214.65 = 2,185.22 : x
  2. Step 2: Convert to fraction form
    3,779.16/5,214.65 = 2,185.22/x
  3. Step 3: Cross multiply
    3,779.16x = 5,214.65 × 2,185.22
  4. Step 4: Simplify right side
    3,779.16x = 11,395,120.47
  5. Step 5: Solve for x
    x = 11,395,120.47/3,779.16
  6. Step 6: Final answer
    x = 3,015.25

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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.