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Finding the Fourth Proportional to 5,638.95, 7,782.26 and 3,121.65

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Solution

The fourth proportional to 5,638.95, 7,782.26 and 3,121.65 is: 4,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.95 : 7,782.26 = 3,121.65 : x
  2. Step 2: Convert to fraction form
    5,638.95/7,782.26 = 3,121.65/x
  3. Step 3: Cross multiply
    5,638.95x = 7,782.26 × 3,121.65
  4. Step 4: Simplify right side
    5,638.95x = 24,293,476.32
  5. Step 5: Solve for x
    x = 24,293,476.32/5,638.95
  6. Step 6: Final answer
    x = 4,308.16

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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.