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Finding the Fourth Proportional to 4,477.42, 6,177.90 and 2,709.16

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Solution

The fourth proportional to 4,477.42, 6,177.90 and 2,709.16 is: 3,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.42 : 6,177.90 = 2,709.16 : x
  2. Step 2: Convert to fraction form
    4,477.42/6,177.90 = 2,709.16/x
  3. Step 3: Cross multiply
    4,477.42x = 6,177.90 × 2,709.16
  4. Step 4: Simplify right side
    4,477.42x = 16,736,919.56
  5. Step 5: Solve for x
    x = 16,736,919.56/4,477.42
  6. Step 6: Final answer
    x = 3,738.07

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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.