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Finding the Fourth Proportional to 4,149.64, 6,225.61 and 1,809.85

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Solution

The fourth proportional to 4,149.64, 6,225.61 and 1,809.85 is: 2,715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.64 : 6,225.61 = 1,809.85 : x
  2. Step 2: Convert to fraction form
    4,149.64/6,225.61 = 1,809.85/x
  3. Step 3: Cross multiply
    4,149.64x = 6,225.61 × 1,809.85
  4. Step 4: Simplify right side
    4,149.64x = 11,267,389.13
  5. Step 5: Solve for x
    x = 11,267,389.13/4,149.64
  6. Step 6: Final answer
    x = 2,715.27

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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.