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Finding the Fourth Proportional to 5,704.93, 8,558.46 and 2,006.17

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Solution

The fourth proportional to 5,704.93, 8,558.46 and 2,006.17 is: 3,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.93 : 8,558.46 = 2,006.17 : x
  2. Step 2: Convert to fraction form
    5,704.93/8,558.46 = 2,006.17/x
  3. Step 3: Cross multiply
    5,704.93x = 8,558.46 × 2,006.17
  4. Step 4: Simplify right side
    5,704.93x = 17,169,704.30
  5. Step 5: Solve for x
    x = 17,169,704.30/5,704.93
  6. Step 6: Final answer
    x = 3,009.63

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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.