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Finding the Fourth Proportional to 5,704.90, 8,006.30 and 5,704.90

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Solution

The fourth proportional to 5,704.90, 8,006.30 and 5,704.90 is: 8,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.90 : 8,006.30 = 5,704.90 : x
  2. Step 2: Convert to fraction form
    5,704.90/8,006.30 = 5,704.90/x
  3. Step 3: Cross multiply
    5,704.90x = 8,006.30 × 5,704.90
  4. Step 4: Simplify right side
    5,704.90x = 45,675,140.87
  5. Step 5: Solve for x
    x = 45,675,140.87/5,704.90
  6. Step 6: Final answer
    x = 8,006.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.