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Finding the Fourth Proportional to 4,281, 5,907.82 and 2,418.04

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Solution

The fourth proportional to 4,281, 5,907.82 and 2,418.04 is: 3,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281 : 5,907.82 = 2,418.04 : x
  2. Step 2: Convert to fraction form
    4,281/5,907.82 = 2,418.04/x
  3. Step 3: Cross multiply
    4,281x = 5,907.82 × 2,418.04
  4. Step 4: Simplify right side
    4,281x = 14,285,345.07
  5. Step 5: Solve for x
    x = 14,285,345.07/4,281
  6. Step 6: Final answer
    x = 3,336.92

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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.