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Finding the Fourth Proportional to 4,246, 6,366.56 and 4,001.38

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Solution

The fourth proportional to 4,246, 6,366.56 and 4,001.38 is: 5,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,246 : 6,366.56 = 4,001.38 : x
  2. Step 2: Convert to fraction form
    4,246/6,366.56 = 4,001.38/x
  3. Step 3: Cross multiply
    4,246x = 6,366.56 × 4,001.38
  4. Step 4: Simplify right side
    4,246x = 25,475,025.85
  5. Step 5: Solve for x
    x = 25,475,025.85/4,246
  6. Step 6: Final answer
    x = 5,999.77

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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.