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Finding the Fourth Proportional to 5,295.56, 7,941.42 and 1,596.65

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Solution

The fourth proportional to 5,295.56, 7,941.42 and 1,596.65 is: 2,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.56 : 7,941.42 = 1,596.65 : x
  2. Step 2: Convert to fraction form
    5,295.56/7,941.42 = 1,596.65/x
  3. Step 3: Cross multiply
    5,295.56x = 7,941.42 × 1,596.65
  4. Step 4: Simplify right side
    5,295.56x = 12,679,628.54
  5. Step 5: Solve for x
    x = 12,679,628.54/5,295.56
  6. Step 6: Final answer
    x = 2,394.39

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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.