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Finding the Fourth Proportional to 4,545.94, 6,820.22 and 3,762.31

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Solution

The fourth proportional to 4,545.94, 6,820.22 and 3,762.31 is: 5,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,545.94 : 6,820.22 = 3,762.31 : x
  2. Step 2: Convert to fraction form
    4,545.94/6,820.22 = 3,762.31/x
  3. Step 3: Cross multiply
    4,545.94x = 6,820.22 × 3,762.31
  4. Step 4: Simplify right side
    4,545.94x = 25,659,763.10
  5. Step 5: Solve for x
    x = 25,659,763.10/4,545.94
  6. Step 6: Final answer
    x = 5,644.55

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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.