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Finding the Fourth Proportional to 5,900.96, 8,858.64 and 3,713.96

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Solution

The fourth proportional to 5,900.96, 8,858.64 and 3,713.96 is: 5,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.96 : 8,858.64 = 3,713.96 : x
  2. Step 2: Convert to fraction form
    5,900.96/8,858.64 = 3,713.96/x
  3. Step 3: Cross multiply
    5,900.96x = 8,858.64 × 3,713.96
  4. Step 4: Simplify right side
    5,900.96x = 32,900,634.61
  5. Step 5: Solve for x
    x = 32,900,634.61/5,900.96
  6. Step 6: Final answer
    x = 5,575.47

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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.