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Finding the Fourth Proportional to 4,149.61, 6,225.57 and 1,809.82

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Solution

The fourth proportional to 4,149.61, 6,225.57 and 1,809.82 is: 2,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.61 : 6,225.57 = 1,809.82 : x
  2. Step 2: Convert to fraction form
    4,149.61/6,225.57 = 1,809.82/x
  3. Step 3: Cross multiply
    4,149.61x = 6,225.57 × 1,809.82
  4. Step 4: Simplify right side
    4,149.61x = 11,267,161.10
  5. Step 5: Solve for x
    x = 11,267,161.10/4,149.61
  6. Step 6: Final answer
    x = 2,715.23

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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.