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Finding the Fourth Proportional to 4,929.27, 7,394.81 and 1,642.05

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Solution

The fourth proportional to 4,929.27, 7,394.81 and 1,642.05 is: 2,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.27 : 7,394.81 = 1,642.05 : x
  2. Step 2: Convert to fraction form
    4,929.27/7,394.81 = 1,642.05/x
  3. Step 3: Cross multiply
    4,929.27x = 7,394.81 × 1,642.05
  4. Step 4: Simplify right side
    4,929.27x = 12,142,639.55
  5. Step 5: Solve for x
    x = 12,142,639.55/4,929.27
  6. Step 6: Final answer
    x = 2,463.37

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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.