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Finding the Fourth Proportional to 3,472.76, 4,777.86 and 3,031.68

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Solution

The fourth proportional to 3,472.76, 4,777.86 and 3,031.68 is: 4,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.76 : 4,777.86 = 3,031.68 : x
  2. Step 2: Convert to fraction form
    3,472.76/4,777.86 = 3,031.68/x
  3. Step 3: Cross multiply
    3,472.76x = 4,777.86 × 3,031.68
  4. Step 4: Simplify right side
    3,472.76x = 14,484,942.60
  5. Step 5: Solve for x
    x = 14,484,942.60/3,472.76
  6. Step 6: Final answer
    x = 4,171.02

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1.5x scale

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.