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Finding the Fourth Proportional to 3,779.16, 5,200.92 and 3,113.40

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Solution

The fourth proportional to 3,779.16, 5,200.92 and 3,113.40 is: 4,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.16 : 5,200.92 = 3,113.40 : x
  2. Step 2: Convert to fraction form
    3,779.16/5,200.92 = 3,113.40/x
  3. Step 3: Cross multiply
    3,779.16x = 5,200.92 × 3,113.40
  4. Step 4: Simplify right side
    3,779.16x = 16,192,544.33
  5. Step 5: Solve for x
    x = 16,192,544.33/3,779.16
  6. Step 6: Final answer
    x = 4,284.69

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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.