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Finding the Fourth Proportional to 5,836.64, 8,053.76 and 3,318.88

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Solution

The fourth proportional to 5,836.64, 8,053.76 and 3,318.88 is: 4,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.64 : 8,053.76 = 3,318.88 : x
  2. Step 2: Convert to fraction form
    5,836.64/8,053.76 = 3,318.88/x
  3. Step 3: Cross multiply
    5,836.64x = 8,053.76 × 3,318.88
  4. Step 4: Simplify right side
    5,836.64x = 26,729,462.99
  5. Step 5: Solve for x
    x = 26,729,462.99/5,836.64
  6. Step 6: Final answer
    x = 4,579.60

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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.