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Finding the Fourth Proportional to 3,777.53, 5,664.47 and 1,585.67

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Solution

The fourth proportional to 3,777.53, 5,664.47 and 1,585.67 is: 2,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.53 : 5,664.47 = 1,585.67 : x
  2. Step 2: Convert to fraction form
    3,777.53/5,664.47 = 1,585.67/x
  3. Step 3: Cross multiply
    3,777.53x = 5,664.47 × 1,585.67
  4. Step 4: Simplify right side
    3,777.53x = 8,981,943.89
  5. Step 5: Solve for x
    x = 8,981,943.89/3,777.53
  6. Step 6: Final answer
    x = 2,377.73

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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.