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Finding the Fourth Proportional to 5,504.42, 7,596 and 2,986.52

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Solution

The fourth proportional to 5,504.42, 7,596 and 2,986.52 is: 4,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.42 : 7,596 = 2,986.52 : x
  2. Step 2: Convert to fraction form
    5,504.42/7,596 = 2,986.52/x
  3. Step 3: Cross multiply
    5,504.42x = 7,596 × 2,986.52
  4. Step 4: Simplify right side
    5,504.42x = 22,685,605.92
  5. Step 5: Solve for x
    x = 22,685,605.92/5,504.42
  6. Step 6: Final answer
    x = 4,121.34

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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.