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Finding the Fourth Proportional to 5,757.40, 7,946.62 and 3,772.76

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Solution

The fourth proportional to 5,757.40, 7,946.62 and 3,772.76 is: 5,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.40 : 7,946.62 = 3,772.76 : x
  2. Step 2: Convert to fraction form
    5,757.40/7,946.62 = 3,772.76/x
  3. Step 3: Cross multiply
    5,757.40x = 7,946.62 × 3,772.76
  4. Step 4: Simplify right side
    5,757.40x = 29,980,690.07
  5. Step 5: Solve for x
    x = 29,980,690.07/5,757.40
  6. Step 6: Final answer
    x = 5,207.33

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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.