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Finding the Fourth Proportional to 3,226, 4,838.74 and 1,034.14

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Solution

The fourth proportional to 3,226, 4,838.74 and 1,034.14 is: 1,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226 : 4,838.74 = 1,034.14 : x
  2. Step 2: Convert to fraction form
    3,226/4,838.74 = 1,034.14/x
  3. Step 3: Cross multiply
    3,226x = 4,838.74 × 1,034.14
  4. Step 4: Simplify right side
    3,226x = 5,003,934.58
  5. Step 5: Solve for x
    x = 5,003,934.58/3,226
  6. Step 6: Final answer
    x = 1,551.13

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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.