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Finding the Fourth Proportional to 4,652.24, 6,978.16 and 2,311.36

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Solution

The fourth proportional to 4,652.24, 6,978.16 and 2,311.36 is: 3,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.24 : 6,978.16 = 2,311.36 : x
  2. Step 2: Convert to fraction form
    4,652.24/6,978.16 = 2,311.36/x
  3. Step 3: Cross multiply
    4,652.24x = 6,978.16 × 2,311.36
  4. Step 4: Simplify right side
    4,652.24x = 16,129,039.90
  5. Step 5: Solve for x
    x = 16,129,039.90/4,652.24
  6. Step 6: Final answer
    x = 3,466.94

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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.