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Finding the Fourth Proportional to 5,804.87, 8,695.25 and 2,834.34

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Solution

The fourth proportional to 5,804.87, 8,695.25 and 2,834.34 is: 4,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.87 : 8,695.25 = 2,834.34 : x
  2. Step 2: Convert to fraction form
    5,804.87/8,695.25 = 2,834.34/x
  3. Step 3: Cross multiply
    5,804.87x = 8,695.25 × 2,834.34
  4. Step 4: Simplify right side
    5,804.87x = 24,645,307.65
  5. Step 5: Solve for x
    x = 24,645,307.65/5,804.87
  6. Step 6: Final answer
    x = 4,245.63

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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.