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Finding the Fourth Proportional to 5,896.44, 8,840.16 and 2,778.48

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Solution

The fourth proportional to 5,896.44, 8,840.16 and 2,778.48 is: 4,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.44 : 8,840.16 = 2,778.48 : x
  2. Step 2: Convert to fraction form
    5,896.44/8,840.16 = 2,778.48/x
  3. Step 3: Cross multiply
    5,896.44x = 8,840.16 × 2,778.48
  4. Step 4: Simplify right side
    5,896.44x = 24,562,207.76
  5. Step 5: Solve for x
    x = 24,562,207.76/5,896.44
  6. Step 6: Final answer
    x = 4,165.60

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1.5x scale

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.