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Finding the Fourth Proportional to 5,796.96, 8,696.24 and 1,901.76

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Solution

The fourth proportional to 5,796.96, 8,696.24 and 1,901.76 is: 2,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.96 : 8,696.24 = 1,901.76 : x
  2. Step 2: Convert to fraction form
    5,796.96/8,696.24 = 1,901.76/x
  3. Step 3: Cross multiply
    5,796.96x = 8,696.24 × 1,901.76
  4. Step 4: Simplify right side
    5,796.96x = 16,538,161.38
  5. Step 5: Solve for x
    x = 16,538,161.38/5,796.96
  6. Step 6: Final answer
    x = 2,852.90

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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.