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Finding the Fourth Proportional to 3,501.77, 4,832.49 and 2,009.63

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Solution

The fourth proportional to 3,501.77, 4,832.49 and 2,009.63 is: 2,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.77 : 4,832.49 = 2,009.63 : x
  2. Step 2: Convert to fraction form
    3,501.77/4,832.49 = 2,009.63/x
  3. Step 3: Cross multiply
    3,501.77x = 4,832.49 × 2,009.63
  4. Step 4: Simplify right side
    3,501.77x = 9,711,516.88
  5. Step 5: Solve for x
    x = 9,711,516.88/3,501.77
  6. Step 6: Final answer
    x = 2,773.32

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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.