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Finding the Fourth Proportional to 3,354.12, 5,023.68 and 3,271.50

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Solution

The fourth proportional to 3,354.12, 5,023.68 and 3,271.50 is: 4,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.12 : 5,023.68 = 3,271.50 : x
  2. Step 2: Convert to fraction form
    3,354.12/5,023.68 = 3,271.50/x
  3. Step 3: Cross multiply
    3,354.12x = 5,023.68 × 3,271.50
  4. Step 4: Simplify right side
    3,354.12x = 16,434,969.12
  5. Step 5: Solve for x
    x = 16,434,969.12/3,354.12
  6. Step 6: Final answer
    x = 4,899.93

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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.