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Finding the Fourth Proportional to 3,742.72, 5,607.92 and 2,277.44

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Solution

The fourth proportional to 3,742.72, 5,607.92 and 2,277.44 is: 3,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.72 : 5,607.92 = 2,277.44 : x
  2. Step 2: Convert to fraction form
    3,742.72/5,607.92 = 2,277.44/x
  3. Step 3: Cross multiply
    3,742.72x = 5,607.92 × 2,277.44
  4. Step 4: Simplify right side
    3,742.72x = 12,771,701.32
  5. Step 5: Solve for x
    x = 12,771,701.32/3,742.72
  6. Step 6: Final answer
    x = 3,412.41

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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.