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Finding the Fourth Proportional to 5,639.69, 7,779.18 and 4,523.31

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Solution

The fourth proportional to 5,639.69, 7,779.18 and 4,523.31 is: 6,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.69 : 7,779.18 = 4,523.31 : x
  2. Step 2: Convert to fraction form
    5,639.69/7,779.18 = 4,523.31/x
  3. Step 3: Cross multiply
    5,639.69x = 7,779.18 × 4,523.31
  4. Step 4: Simplify right side
    5,639.69x = 35,187,642.69
  5. Step 5: Solve for x
    x = 35,187,642.69/5,639.69
  6. Step 6: Final answer
    x = 6,239.29

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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.