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Finding the Fourth Proportional to 6,022.50, 8,312.67 and 3,929.46

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Solution

The fourth proportional to 6,022.50, 8,312.67 and 3,929.46 is: 5,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.50 : 8,312.67 = 3,929.46 : x
  2. Step 2: Convert to fraction form
    6,022.50/8,312.67 = 3,929.46/x
  3. Step 3: Cross multiply
    6,022.50x = 8,312.67 × 3,929.46
  4. Step 4: Simplify right side
    6,022.50x = 32,664,304.26
  5. Step 5: Solve for x
    x = 32,664,304.26/6,022.50
  6. Step 6: Final answer
    x = 5,423.71

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