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Finding the Fourth Proportional to 3,533.14, 5,298 and 2,129.14

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Solution

The fourth proportional to 3,533.14, 5,298 and 2,129.14 is: 3,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.14 : 5,298 = 2,129.14 : x
  2. Step 2: Convert to fraction form
    3,533.14/5,298 = 2,129.14/x
  3. Step 3: Cross multiply
    3,533.14x = 5,298 × 2,129.14
  4. Step 4: Simplify right side
    3,533.14x = 11,280,183.72
  5. Step 5: Solve for x
    x = 11,280,183.72/3,533.14
  6. Step 6: Final answer
    x = 3,192.68

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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.