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Finding the Fourth Proportional to 3,596.50, 5,386.04 and 2,975.63

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Solution

The fourth proportional to 3,596.50, 5,386.04 and 2,975.63 is: 4,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.50 : 5,386.04 = 2,975.63 : x
  2. Step 2: Convert to fraction form
    3,596.50/5,386.04 = 2,975.63/x
  3. Step 3: Cross multiply
    3,596.50x = 5,386.04 × 2,975.63
  4. Step 4: Simplify right side
    3,596.50x = 16,026,847.33
  5. Step 5: Solve for x
    x = 16,026,847.33/3,596.50
  6. Step 6: Final answer
    x = 4,456.24

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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.