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Finding the Fourth Proportional to 3,471.08, 5,206.64 and 874.02

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Solution

The fourth proportional to 3,471.08, 5,206.64 and 874.02 is: 1,311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.08 : 5,206.64 = 874.02 : x
  2. Step 2: Convert to fraction form
    3,471.08/5,206.64 = 874.02/x
  3. Step 3: Cross multiply
    3,471.08x = 5,206.64 × 874.02
  4. Step 4: Simplify right side
    3,471.08x = 4,550,707.49
  5. Step 5: Solve for x
    x = 4,550,707.49/3,471.08
  6. Step 6: Final answer
    x = 1,311.04

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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.