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Finding the Fourth Proportional to 5,792.43, 7,994.36 and 4,297.98

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Solution

The fourth proportional to 5,792.43, 7,994.36 and 4,297.98 is: 5,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.43 : 7,994.36 = 4,297.98 : x
  2. Step 2: Convert to fraction form
    5,792.43/7,994.36 = 4,297.98/x
  3. Step 3: Cross multiply
    5,792.43x = 7,994.36 × 4,297.98
  4. Step 4: Simplify right side
    5,792.43x = 34,359,599.39
  5. Step 5: Solve for x
    x = 34,359,599.39/5,792.43
  6. Step 6: Final answer
    x = 5,931.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.