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Finding the Fourth Proportional to 3,546, 5,319.06 and 1,596.87

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Solution

The fourth proportional to 3,546, 5,319.06 and 1,596.87 is: 2,395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546 : 5,319.06 = 1,596.87 : x
  2. Step 2: Convert to fraction form
    3,546/5,319.06 = 1,596.87/x
  3. Step 3: Cross multiply
    3,546x = 5,319.06 × 1,596.87
  4. Step 4: Simplify right side
    3,546x = 8,493,847.34
  5. Step 5: Solve for x
    x = 8,493,847.34/3,546
  6. Step 6: Final answer
    x = 2,395.33

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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.