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Finding the Fourth Proportional to 4,707.99, 7,056.50 and 2,105.46

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Solution

The fourth proportional to 4,707.99, 7,056.50 and 2,105.46 is: 3,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.99 : 7,056.50 = 2,105.46 : x
  2. Step 2: Convert to fraction form
    4,707.99/7,056.50 = 2,105.46/x
  3. Step 3: Cross multiply
    4,707.99x = 7,056.50 × 2,105.46
  4. Step 4: Simplify right side
    4,707.99x = 14,857,167.96
  5. Step 5: Solve for x
    x = 14,857,167.96/4,707.99
  6. Step 6: Final answer
    x = 3,155.73

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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.