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Finding the Fourth Proportional to 4,243, 6,366.54 and 3,209.32

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Solution

The fourth proportional to 4,243, 6,366.54 and 3,209.32 is: 4,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243 : 6,366.54 = 3,209.32 : x
  2. Step 2: Convert to fraction form
    4,243/6,366.54 = 3,209.32/x
  3. Step 3: Cross multiply
    4,243x = 6,366.54 × 3,209.32
  4. Step 4: Simplify right side
    4,243x = 20,432,264.15
  5. Step 5: Solve for x
    x = 20,432,264.15/4,243
  6. Step 6: Final answer
    x = 4,815.52

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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.