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Finding the Fourth Proportional to 3,533.69, 5,295.96 and 1,451.34

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Solution

The fourth proportional to 3,533.69, 5,295.96 and 1,451.34 is: 2,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.69 : 5,295.96 = 1,451.34 : x
  2. Step 2: Convert to fraction form
    3,533.69/5,295.96 = 1,451.34/x
  3. Step 3: Cross multiply
    3,533.69x = 5,295.96 × 1,451.34
  4. Step 4: Simplify right side
    3,533.69x = 7,686,238.59
  5. Step 5: Solve for x
    x = 7,686,238.59/3,533.69
  6. Step 6: Final answer
    x = 2,175.13

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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.