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Finding the Fourth Proportional to 5,847.52, 8,772.72 and 2,384.32

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Solution

The fourth proportional to 5,847.52, 8,772.72 and 2,384.32 is: 3,577.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.52 : 8,772.72 = 2,384.32 : x
  2. Step 2: Convert to fraction form
    5,847.52/8,772.72 = 2,384.32/x
  3. Step 3: Cross multiply
    5,847.52x = 8,772.72 × 2,384.32
  4. Step 4: Simplify right side
    5,847.52x = 20,916,971.75
  5. Step 5: Solve for x
    x = 20,916,971.75/5,847.52
  6. Step 6: Final answer
    x = 3,577.07

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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.