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Finding the Fourth Proportional to 3,848.46, 5,770.63 and 1,997.71

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Solution

The fourth proportional to 3,848.46, 5,770.63 and 1,997.71 is: 2,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.46 : 5,770.63 = 1,997.71 : x
  2. Step 2: Convert to fraction form
    3,848.46/5,770.63 = 1,997.71/x
  3. Step 3: Cross multiply
    3,848.46x = 5,770.63 × 1,997.71
  4. Step 4: Simplify right side
    3,848.46x = 11,528,045.26
  5. Step 5: Solve for x
    x = 11,528,045.26/3,848.46
  6. Step 6: Final answer
    x = 2,995.50

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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.