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Finding the Fourth Proportional to 5,808.24, 8,712 and 1,704.24

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Solution

The fourth proportional to 5,808.24, 8,712 and 1,704.24 is: 2,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.24 : 8,712 = 1,704.24 : x
  2. Step 2: Convert to fraction form
    5,808.24/8,712 = 1,704.24/x
  3. Step 3: Cross multiply
    5,808.24x = 8,712 × 1,704.24
  4. Step 4: Simplify right side
    5,808.24x = 14,847,338.88
  5. Step 5: Solve for x
    x = 14,847,338.88/5,808.24
  6. Step 6: Final answer
    x = 2,556.25

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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.