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Finding the Fourth Proportional to 3,823.79, 5,734.99 and 1,050.10

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Solution

The fourth proportional to 3,823.79, 5,734.99 and 1,050.10 is: 1,574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.79 : 5,734.99 = 1,050.10 : x
  2. Step 2: Convert to fraction form
    3,823.79/5,734.99 = 1,050.10/x
  3. Step 3: Cross multiply
    3,823.79x = 5,734.99 × 1,050.10
  4. Step 4: Simplify right side
    3,823.79x = 6,022,299.97
  5. Step 5: Solve for x
    x = 6,022,299.97/3,823.79
  6. Step 6: Final answer
    x = 1,574.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.