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Finding the Fourth Proportional to 3,602.54, 4,964.77 and 2,606.11

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Solution

The fourth proportional to 3,602.54, 4,964.77 and 2,606.11 is: 3,591.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.54 : 4,964.77 = 2,606.11 : x
  2. Step 2: Convert to fraction form
    3,602.54/4,964.77 = 2,606.11/x
  3. Step 3: Cross multiply
    3,602.54x = 4,964.77 × 2,606.11
  4. Step 4: Simplify right side
    3,602.54x = 12,938,736.74
  5. Step 5: Solve for x
    x = 12,938,736.74/3,602.54
  6. Step 6: Final answer
    x = 3,591.56

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Why These Related Problems?

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