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Finding the Fourth Proportional to 3,501.71, 4,832.69 and 2,009.96

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Solution

The fourth proportional to 3,501.71, 4,832.69 and 2,009.96 is: 2,773.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.71 : 4,832.69 = 2,009.96 : x
  2. Step 2: Convert to fraction form
    3,501.71/4,832.69 = 2,009.96/x
  3. Step 3: Cross multiply
    3,501.71x = 4,832.69 × 2,009.96
  4. Step 4: Simplify right side
    3,501.71x = 9,713,479.38
  5. Step 5: Solve for x
    x = 9,713,479.38/3,501.71
  6. Step 6: Final answer
    x = 2,773.93

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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.