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Finding the Fourth Proportional to 5,908.48, 8,847.60 and 4,932.16

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Solution

The fourth proportional to 5,908.48, 8,847.60 and 4,932.16 is: 7,385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908.48 : 8,847.60 = 4,932.16 : x
  2. Step 2: Convert to fraction form
    5,908.48/8,847.60 = 4,932.16/x
  3. Step 3: Cross multiply
    5,908.48x = 8,847.60 × 4,932.16
  4. Step 4: Simplify right side
    5,908.48x = 43,637,778.82
  5. Step 5: Solve for x
    x = 43,637,778.82/5,908.48
  6. Step 6: Final answer
    x = 7,385.62

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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.