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Finding the Fourth Proportional to 3,572.12, 4,929.06 and 2,000.50

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Solution

The fourth proportional to 3,572.12, 4,929.06 and 2,000.50 is: 2,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.12 : 4,929.06 = 2,000.50 : x
  2. Step 2: Convert to fraction form
    3,572.12/4,929.06 = 2,000.50/x
  3. Step 3: Cross multiply
    3,572.12x = 4,929.06 × 2,000.50
  4. Step 4: Simplify right side
    3,572.12x = 9,860,584.53
  5. Step 5: Solve for x
    x = 9,860,584.53/3,572.12
  6. Step 6: Final answer
    x = 2,760.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.