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Finding the Fourth Proportional to 4,816.74, 7,229.20 and 1,897.08

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Solution

The fourth proportional to 4,816.74, 7,229.20 and 1,897.08 is: 2,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.74 : 7,229.20 = 1,897.08 : x
  2. Step 2: Convert to fraction form
    4,816.74/7,229.20 = 1,897.08/x
  3. Step 3: Cross multiply
    4,816.74x = 7,229.20 × 1,897.08
  4. Step 4: Simplify right side
    4,816.74x = 13,714,370.74
  5. Step 5: Solve for x
    x = 13,714,370.74/4,816.74
  6. Step 6: Final answer
    x = 2,847.23

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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.