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Finding the Fourth Proportional to 5,814, 8,722.68 and 1,710

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Solution

The fourth proportional to 5,814, 8,722.68 and 1,710 is: 2,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814 : 8,722.68 = 1,710 : x
  2. Step 2: Convert to fraction form
    5,814/8,722.68 = 1,710/x
  3. Step 3: Cross multiply
    5,814x = 8,722.68 × 1,710
  4. Step 4: Simplify right side
    5,814x = 14,915,782.80
  5. Step 5: Solve for x
    x = 14,915,782.80/5,814
  6. Step 6: Final answer
    x = 2,565.49

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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.