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Finding the Fourth Proportional to 5,977.07, 8,958.68 and 5,285.09

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Solution

The fourth proportional to 5,977.07, 8,958.68 and 5,285.09 is: 7,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.07 : 8,958.68 = 5,285.09 : x
  2. Step 2: Convert to fraction form
    5,977.07/8,958.68 = 5,285.09/x
  3. Step 3: Cross multiply
    5,977.07x = 8,958.68 × 5,285.09
  4. Step 4: Simplify right side
    5,977.07x = 47,347,465.69
  5. Step 5: Solve for x
    x = 47,347,465.69/5,977.07
  6. Step 6: Final answer
    x = 7,921.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.