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Finding the Fourth Proportional to 5,873.16, 8,811.09 and 3,410.04

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Solution

The fourth proportional to 5,873.16, 8,811.09 and 3,410.04 is: 5,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.16 : 8,811.09 = 3,410.04 : x
  2. Step 2: Convert to fraction form
    5,873.16/8,811.09 = 3,410.04/x
  3. Step 3: Cross multiply
    5,873.16x = 8,811.09 × 3,410.04
  4. Step 4: Simplify right side
    5,873.16x = 30,046,169.34
  5. Step 5: Solve for x
    x = 30,046,169.34/5,873.16
  6. Step 6: Final answer
    x = 5,115.84

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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.