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Finding the Fourth Proportional to 5,124.05, 7,682.91 and 2,000.42

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Solution

The fourth proportional to 5,124.05, 7,682.91 and 2,000.42 is: 2,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.05 : 7,682.91 = 2,000.42 : x
  2. Step 2: Convert to fraction form
    5,124.05/7,682.91 = 2,000.42/x
  3. Step 3: Cross multiply
    5,124.05x = 7,682.91 × 2,000.42
  4. Step 4: Simplify right side
    5,124.05x = 15,369,008.41
  5. Step 5: Solve for x
    x = 15,369,008.41/5,124.05
  6. Step 6: Final answer
    x = 2,999.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.