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Finding the Fourth Proportional to 4,782.26, 6,597.90 and 2,894.42

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Solution

The fourth proportional to 4,782.26, 6,597.90 and 2,894.42 is: 3,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.26 : 6,597.90 = 2,894.42 : x
  2. Step 2: Convert to fraction form
    4,782.26/6,597.90 = 2,894.42/x
  3. Step 3: Cross multiply
    4,782.26x = 6,597.90 × 2,894.42
  4. Step 4: Simplify right side
    4,782.26x = 19,097,093.72
  5. Step 5: Solve for x
    x = 19,097,093.72/4,782.26
  6. Step 6: Final answer
    x = 3,993.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.