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Finding the Fourth Proportional to 5,496.42, 8,242.79 and 1,797.78

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Solution

The fourth proportional to 5,496.42, 8,242.79 and 1,797.78 is: 2,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.42 : 8,242.79 = 1,797.78 : x
  2. Step 2: Convert to fraction form
    5,496.42/8,242.79 = 1,797.78/x
  3. Step 3: Cross multiply
    5,496.42x = 8,242.79 × 1,797.78
  4. Step 4: Simplify right side
    5,496.42x = 14,818,714.02
  5. Step 5: Solve for x
    x = 14,818,714.02/5,496.42
  6. Step 6: Final answer
    x = 2,696.07

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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.