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Finding the Fourth Proportional to 3,774.98, 5,208.64 and 2,282.87

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Solution

The fourth proportional to 3,774.98, 5,208.64 and 2,282.87 is: 3,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.98 : 5,208.64 = 2,282.87 : x
  2. Step 2: Convert to fraction form
    3,774.98/5,208.64 = 2,282.87/x
  3. Step 3: Cross multiply
    3,774.98x = 5,208.64 × 2,282.87
  4. Step 4: Simplify right side
    3,774.98x = 11,890,655.31
  5. Step 5: Solve for x
    x = 11,890,655.31/3,774.98
  6. Step 6: Final answer
    x = 3,149.86

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1.5x scale

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.