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Finding the Fourth Proportional to 5,709.58, 8,555.52 and 3,958.00

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Solution

The fourth proportional to 5,709.58, 8,555.52 and 3,958.00 is: 5,930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.58 : 8,555.52 = 3,958.00 : x
  2. Step 2: Convert to fraction form
    5,709.58/8,555.52 = 3,958.00/x
  3. Step 3: Cross multiply
    5,709.58x = 8,555.52 × 3,958.00
  4. Step 4: Simplify right side
    5,709.58x = 33,862,741.61
  5. Step 5: Solve for x
    x = 33,862,741.61/5,709.58
  6. Step 6: Final answer
    x = 5,930.87

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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.