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Finding the Fourth Proportional to 5,993.52, 8,977.32 and 3,678

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Solution

The fourth proportional to 5,993.52, 8,977.32 and 3,678 is: 5,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.52 : 8,977.32 = 3,678 : x
  2. Step 2: Convert to fraction form
    5,993.52/8,977.32 = 3,678/x
  3. Step 3: Cross multiply
    5,993.52x = 8,977.32 × 3,678
  4. Step 4: Simplify right side
    5,993.52x = 33,018,582.96
  5. Step 5: Solve for x
    x = 33,018,582.96/5,993.52
  6. Step 6: Final answer
    x = 5,509.05

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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.