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Finding the Fourth Proportional to 3,905.84, 5,854.71 and 2,441.63

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Solution

The fourth proportional to 3,905.84, 5,854.71 and 2,441.63 is: 3,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.84 : 5,854.71 = 2,441.63 : x
  2. Step 2: Convert to fraction form
    3,905.84/5,854.71 = 2,441.63/x
  3. Step 3: Cross multiply
    3,905.84x = 5,854.71 × 2,441.63
  4. Step 4: Simplify right side
    3,905.84x = 14,295,035.58
  5. Step 5: Solve for x
    x = 14,295,035.58/3,905.84
  6. Step 6: Final answer
    x = 3,659.91

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1.5x scale

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.