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Finding the Fourth Proportional to 3,846.05, 5,769.07 and 924.35

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Solution

The fourth proportional to 3,846.05, 5,769.07 and 924.35 is: 1,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.05 : 5,769.07 = 924.35 : x
  2. Step 2: Convert to fraction form
    3,846.05/5,769.07 = 924.35/x
  3. Step 3: Cross multiply
    3,846.05x = 5,769.07 × 924.35
  4. Step 4: Simplify right side
    3,846.05x = 5,332,628.60
  5. Step 5: Solve for x
    x = 5,332,628.60/3,846.05
  6. Step 6: Final answer
    x = 1,386.52

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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.