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Finding the Fourth Proportional to 3,835.70, 5,753.55 and 2,377.70

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Solution

The fourth proportional to 3,835.70, 5,753.55 and 2,377.70 is: 3,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.70 : 5,753.55 = 2,377.70 : x
  2. Step 2: Convert to fraction form
    3,835.70/5,753.55 = 2,377.70/x
  3. Step 3: Cross multiply
    3,835.70x = 5,753.55 × 2,377.70
  4. Step 4: Simplify right side
    3,835.70x = 13,680,215.84
  5. Step 5: Solve for x
    x = 13,680,215.84/3,835.70
  6. Step 6: Final answer
    x = 3,566.55

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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.