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Finding the Fourth Proportional to 5,348.84, 8,020.28 and 1,650.02

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Solution

The fourth proportional to 5,348.84, 8,020.28 and 1,650.02 is: 2,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.84 : 8,020.28 = 1,650.02 : x
  2. Step 2: Convert to fraction form
    5,348.84/8,020.28 = 1,650.02/x
  3. Step 3: Cross multiply
    5,348.84x = 8,020.28 × 1,650.02
  4. Step 4: Simplify right side
    5,348.84x = 13,233,622.41
  5. Step 5: Solve for x
    x = 13,233,622.41/5,348.84
  6. Step 6: Final answer
    x = 2,474.11

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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.