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Finding the Fourth Proportional to 5,297.23, 7,946.88 and 2,012.64

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Solution

The fourth proportional to 5,297.23, 7,946.88 and 2,012.64 is: 3,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.23 : 7,946.88 = 2,012.64 : x
  2. Step 2: Convert to fraction form
    5,297.23/7,946.88 = 2,012.64/x
  3. Step 3: Cross multiply
    5,297.23x = 7,946.88 × 2,012.64
  4. Step 4: Simplify right side
    5,297.23x = 15,994,171.22
  5. Step 5: Solve for x
    x = 15,994,171.22/5,297.23
  6. Step 6: Final answer
    x = 3,019.35

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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.