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Finding the Fourth Proportional to 3,533.01, 5,298.49 and 1,424.63

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Solution

The fourth proportional to 3,533.01, 5,298.49 and 1,424.63 is: 2,136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.01 : 5,298.49 = 1,424.63 : x
  2. Step 2: Convert to fraction form
    3,533.01/5,298.49 = 1,424.63/x
  3. Step 3: Cross multiply
    3,533.01x = 5,298.49 × 1,424.63
  4. Step 4: Simplify right side
    3,533.01x = 7,548,380.69
  5. Step 5: Solve for x
    x = 7,548,380.69/3,533.01
  6. Step 6: Final answer
    x = 2,136.53

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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.