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Finding the Fourth Proportional to 5,820.80, 8,710.08 and 3,226.24

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Solution

The fourth proportional to 5,820.80, 8,710.08 and 3,226.24 is: 4,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.80 : 8,710.08 = 3,226.24 : x
  2. Step 2: Convert to fraction form
    5,820.80/8,710.08 = 3,226.24/x
  3. Step 3: Cross multiply
    5,820.80x = 8,710.08 × 3,226.24
  4. Step 4: Simplify right side
    5,820.80x = 28,100,808.50
  5. Step 5: Solve for x
    x = 28,100,808.50/5,820.80
  6. Step 6: Final answer
    x = 4,827.65

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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.