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Finding the Fourth Proportional to 5,953.66, 8,930.56 and 2,833.98

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Solution

The fourth proportional to 5,953.66, 8,930.56 and 2,833.98 is: 4,251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.66 : 8,930.56 = 2,833.98 : x
  2. Step 2: Convert to fraction form
    5,953.66/8,930.56 = 2,833.98/x
  3. Step 3: Cross multiply
    5,953.66x = 8,930.56 × 2,833.98
  4. Step 4: Simplify right side
    5,953.66x = 25,309,028.43
  5. Step 5: Solve for x
    x = 25,309,028.43/5,953.66
  6. Step 6: Final answer
    x = 4,251.00

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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.