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Finding the Fourth Proportional to 3,832.52, 5,289.72 and 2,435

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Solution

The fourth proportional to 3,832.52, 5,289.72 and 2,435 is: 3,360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.52 : 5,289.72 = 2,435 : x
  2. Step 2: Convert to fraction form
    3,832.52/5,289.72 = 2,435/x
  3. Step 3: Cross multiply
    3,832.52x = 5,289.72 × 2,435
  4. Step 4: Simplify right side
    3,832.52x = 12,880,468.20
  5. Step 5: Solve for x
    x = 12,880,468.20/3,832.52
  6. Step 6: Final answer
    x = 3,360.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.