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Finding the Fourth Proportional to 5,297.93, 7,946.97 and 1,600.19

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Solution

The fourth proportional to 5,297.93, 7,946.97 and 1,600.19 is: 2,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.93 : 7,946.97 = 1,600.19 : x
  2. Step 2: Convert to fraction form
    5,297.93/7,946.97 = 1,600.19/x
  3. Step 3: Cross multiply
    5,297.93x = 7,946.97 × 1,600.19
  4. Step 4: Simplify right side
    5,297.93x = 12,716,690.77
  5. Step 5: Solve for x
    x = 12,716,690.77/5,297.93
  6. Step 6: Final answer
    x = 2,400.31

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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.