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Finding the Fourth Proportional to 3,470.50, 5,205.86 and 873.44

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Solution

The fourth proportional to 3,470.50, 5,205.86 and 873.44 is: 1,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.50 : 5,205.86 = 873.44 : x
  2. Step 2: Convert to fraction form
    3,470.50/5,205.86 = 873.44/x
  3. Step 3: Cross multiply
    3,470.50x = 5,205.86 × 873.44
  4. Step 4: Simplify right side
    3,470.50x = 4,547,006.36
  5. Step 5: Solve for x
    x = 4,547,006.36/3,470.50
  6. Step 6: Final answer
    x = 1,310.19

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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.