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Finding the Fourth Proportional to 4,864.86, 7,299.72 and 1,944

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Solution

The fourth proportional to 4,864.86, 7,299.72 and 1,944 is: 2,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.86 : 7,299.72 = 1,944 : x
  2. Step 2: Convert to fraction form
    4,864.86/7,299.72 = 1,944/x
  3. Step 3: Cross multiply
    4,864.86x = 7,299.72 × 1,944
  4. Step 4: Simplify right side
    4,864.86x = 14,190,655.68
  5. Step 5: Solve for x
    x = 14,190,655.68/4,864.86
  6. Step 6: Final answer
    x = 2,916.97

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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.