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Finding the Fourth Proportional to 4,356.41, 6,533.61 and 2,134.34

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Solution

The fourth proportional to 4,356.41, 6,533.61 and 2,134.34 is: 3,201.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.41 : 6,533.61 = 2,134.34 : x
  2. Step 2: Convert to fraction form
    4,356.41/6,533.61 = 2,134.34/x
  3. Step 3: Cross multiply
    4,356.41x = 6,533.61 × 2,134.34
  4. Step 4: Simplify right side
    4,356.41x = 13,944,912.50
  5. Step 5: Solve for x
    x = 13,944,912.50/4,356.41
  6. Step 6: Final answer
    x = 3,201.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.