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Finding the Fourth Proportional to 3,533.39, 5,298 and 1,342.27

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Solution

The fourth proportional to 3,533.39, 5,298 and 1,342.27 is: 2,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.39 : 5,298 = 1,342.27 : x
  2. Step 2: Convert to fraction form
    3,533.39/5,298 = 1,342.27/x
  3. Step 3: Cross multiply
    3,533.39x = 5,298 × 1,342.27
  4. Step 4: Simplify right side
    3,533.39x = 7,111,346.46
  5. Step 5: Solve for x
    x = 7,111,346.46/3,533.39
  6. Step 6: Final answer
    x = 2,012.61

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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.