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Finding the Fourth Proportional to 5,743.70, 8,617.05 and 1,848.20

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Solution

The fourth proportional to 5,743.70, 8,617.05 and 1,848.20 is: 2,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.70 : 8,617.05 = 1,848.20 : x
  2. Step 2: Convert to fraction form
    5,743.70/8,617.05 = 1,848.20/x
  3. Step 3: Cross multiply
    5,743.70x = 8,617.05 × 1,848.20
  4. Step 4: Simplify right side
    5,743.70x = 15,926,031.81
  5. Step 5: Solve for x
    x = 15,926,031.81/5,743.70
  6. Step 6: Final answer
    x = 2,772.78

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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.