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Finding the Fourth Proportional to 3,902.76, 5,846.86 and 1,952.68

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Solution

The fourth proportional to 3,902.76, 5,846.86 and 1,952.68 is: 2,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.76 : 5,846.86 = 1,952.68 : x
  2. Step 2: Convert to fraction form
    3,902.76/5,846.86 = 1,952.68/x
  3. Step 3: Cross multiply
    3,902.76x = 5,846.86 × 1,952.68
  4. Step 4: Simplify right side
    3,902.76x = 11,417,046.58
  5. Step 5: Solve for x
    x = 11,417,046.58/3,902.76
  6. Step 6: Final answer
    x = 2,925.38

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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.