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Finding the Fourth Proportional to 5,185.71, 7,779.92 and 1,488.22

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Solution

The fourth proportional to 5,185.71, 7,779.92 and 1,488.22 is: 2,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.71 : 7,779.92 = 1,488.22 : x
  2. Step 2: Convert to fraction form
    5,185.71/7,779.92 = 1,488.22/x
  3. Step 3: Cross multiply
    5,185.71x = 7,779.92 × 1,488.22
  4. Step 4: Simplify right side
    5,185.71x = 11,578,205.65
  5. Step 5: Solve for x
    x = 11,578,205.65/5,185.71
  6. Step 6: Final answer
    x = 2,232.71

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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.