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Finding the Fourth Proportional to 5,496.47, 8,243.53 and 1,798.82

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Solution

The fourth proportional to 5,496.47, 8,243.53 and 1,798.82 is: 2,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.47 : 8,243.53 = 1,798.82 : x
  2. Step 2: Convert to fraction form
    5,496.47/8,243.53 = 1,798.82/x
  3. Step 3: Cross multiply
    5,496.47x = 8,243.53 × 1,798.82
  4. Step 4: Simplify right side
    5,496.47x = 14,828,626.63
  5. Step 5: Solve for x
    x = 14,828,626.63/5,496.47
  6. Step 6: Final answer
    x = 2,697.85

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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.