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Finding the Fourth Proportional to 3,779.26, 5,666.88 and 1,313.38

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Solution

The fourth proportional to 3,779.26, 5,666.88 and 1,313.38 is: 1,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.26 : 5,666.88 = 1,313.38 : x
  2. Step 2: Convert to fraction form
    3,779.26/5,666.88 = 1,313.38/x
  3. Step 3: Cross multiply
    3,779.26x = 5,666.88 × 1,313.38
  4. Step 4: Simplify right side
    3,779.26x = 7,442,766.85
  5. Step 5: Solve for x
    x = 7,442,766.85/3,779.26
  6. Step 6: Final answer
    x = 1,969.37

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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.