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Finding the Fourth Proportional to 3,533.72, 4,875.76 and 2,136.44

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Solution

The fourth proportional to 3,533.72, 4,875.76 and 2,136.44 is: 2,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.72 : 4,875.76 = 2,136.44 : x
  2. Step 2: Convert to fraction form
    3,533.72/4,875.76 = 2,136.44/x
  3. Step 3: Cross multiply
    3,533.72x = 4,875.76 × 2,136.44
  4. Step 4: Simplify right side
    3,533.72x = 10,416,768.69
  5. Step 5: Solve for x
    x = 10,416,768.69/3,533.72
  6. Step 6: Final answer
    x = 2,947.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.