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Finding the Fourth Proportional to 3,470.08, 5,205.14 and 873.02

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Solution

The fourth proportional to 3,470.08, 5,205.14 and 873.02 is: 1,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.08 : 5,205.14 = 873.02 : x
  2. Step 2: Convert to fraction form
    3,470.08/5,205.14 = 873.02/x
  3. Step 3: Cross multiply
    3,470.08x = 5,205.14 × 873.02
  4. Step 4: Simplify right side
    3,470.08x = 4,544,191.32
  5. Step 5: Solve for x
    x = 4,544,191.32/3,470.08
  6. Step 6: Final answer
    x = 1,309.54

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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.