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Finding the Fourth Proportional to 3,236.39, 4,849.98 and 1,477.07

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Solution

The fourth proportional to 3,236.39, 4,849.98 and 1,477.07 is: 2,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.39 : 4,849.98 = 1,477.07 : x
  2. Step 2: Convert to fraction form
    3,236.39/4,849.98 = 1,477.07/x
  3. Step 3: Cross multiply
    3,236.39x = 4,849.98 × 1,477.07
  4. Step 4: Simplify right side
    3,236.39x = 7,163,735.71
  5. Step 5: Solve for x
    x = 7,163,735.71/3,236.39
  6. Step 6: Final answer
    x = 2,213.50

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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.