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Finding the Fourth Proportional to 5,906.60, 8,849.10 and 4,977.80

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Solution

The fourth proportional to 5,906.60, 8,849.10 and 4,977.80 is: 7,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.60 : 8,849.10 = 4,977.80 : x
  2. Step 2: Convert to fraction form
    5,906.60/8,849.10 = 4,977.80/x
  3. Step 3: Cross multiply
    5,906.60x = 8,849.10 × 4,977.80
  4. Step 4: Simplify right side
    5,906.60x = 44,049,049.98
  5. Step 5: Solve for x
    x = 44,049,049.98/5,906.60
  6. Step 6: Final answer
    x = 7,457.60

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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.