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Finding the Fourth Proportional to 5,946.94, 8,199.18 and 4,880.80

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Solution

The fourth proportional to 5,946.94, 8,199.18 and 4,880.80 is: 6,729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.94 : 8,199.18 = 4,880.80 : x
  2. Step 2: Convert to fraction form
    5,946.94/8,199.18 = 4,880.80/x
  3. Step 3: Cross multiply
    5,946.94x = 8,199.18 × 4,880.80
  4. Step 4: Simplify right side
    5,946.94x = 40,018,557.74
  5. Step 5: Solve for x
    x = 40,018,557.74/5,946.94
  6. Step 6: Final answer
    x = 6,729.27

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