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Finding the Fourth Proportional to 5,983.76, 8,256.12 and 3,499.76

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Solution

The fourth proportional to 5,983.76, 8,256.12 and 3,499.76 is: 4,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.76 : 8,256.12 = 3,499.76 : x
  2. Step 2: Convert to fraction form
    5,983.76/8,256.12 = 3,499.76/x
  3. Step 3: Cross multiply
    5,983.76x = 8,256.12 × 3,499.76
  4. Step 4: Simplify right side
    5,983.76x = 28,894,438.53
  5. Step 5: Solve for x
    x = 28,894,438.53/5,983.76
  6. Step 6: Final answer
    x = 4,828.81

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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.