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Finding the Fourth Proportional to 3,777.65, 5,664.53 and 1,695.87

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Solution

The fourth proportional to 3,777.65, 5,664.53 and 1,695.87 is: 2,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.65 : 5,664.53 = 1,695.87 : x
  2. Step 2: Convert to fraction form
    3,777.65/5,664.53 = 1,695.87/x
  3. Step 3: Cross multiply
    3,777.65x = 5,664.53 × 1,695.87
  4. Step 4: Simplify right side
    3,777.65x = 9,606,331.97
  5. Step 5: Solve for x
    x = 9,606,331.97/3,777.65
  6. Step 6: Final answer
    x = 2,542.94

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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.