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Finding the Fourth Proportional to 5,433.66, 8,146.17 and 2,353.50

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Solution

The fourth proportional to 5,433.66, 8,146.17 and 2,353.50 is: 3,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,433.66 : 8,146.17 = 2,353.50 : x
  2. Step 2: Convert to fraction form
    5,433.66/8,146.17 = 2,353.50/x
  3. Step 3: Cross multiply
    5,433.66x = 8,146.17 × 2,353.50
  4. Step 4: Simplify right side
    5,433.66x = 19,172,011.10
  5. Step 5: Solve for x
    x = 19,172,011.10/5,433.66
  6. Step 6: Final answer
    x = 3,528.38

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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.