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Finding the Fourth Proportional to 3,534.04, 5,297.82 and 1,798.84

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Solution

The fourth proportional to 3,534.04, 5,297.82 and 1,798.84 is: 2,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.04 : 5,297.82 = 1,798.84 : x
  2. Step 2: Convert to fraction form
    3,534.04/5,297.82 = 1,798.84/x
  3. Step 3: Cross multiply
    3,534.04x = 5,297.82 × 1,798.84
  4. Step 4: Simplify right side
    3,534.04x = 9,529,930.53
  5. Step 5: Solve for x
    x = 9,529,930.53/3,534.04
  6. Step 6: Final answer
    x = 2,696.61

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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.