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Finding the Fourth Proportional to 4,916.24, 7,374.12 and 1,838

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Solution

The fourth proportional to 4,916.24, 7,374.12 and 1,838 is: 2,756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.24 : 7,374.12 = 1,838 : x
  2. Step 2: Convert to fraction form
    4,916.24/7,374.12 = 1,838/x
  3. Step 3: Cross multiply
    4,916.24x = 7,374.12 × 1,838
  4. Step 4: Simplify right side
    4,916.24x = 13,553,632.56
  5. Step 5: Solve for x
    x = 13,553,632.56/4,916.24
  6. Step 6: Final answer
    x = 2,756.91

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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.