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Finding the Fourth Proportional to 4,927.94, 6,803.06 and 3,806.36

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Solution

The fourth proportional to 4,927.94, 6,803.06 and 3,806.36 is: 5,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.94 : 6,803.06 = 3,806.36 : x
  2. Step 2: Convert to fraction form
    4,927.94/6,803.06 = 3,806.36/x
  3. Step 3: Cross multiply
    4,927.94x = 6,803.06 × 3,806.36
  4. Step 4: Simplify right side
    4,927.94x = 25,894,895.46
  5. Step 5: Solve for x
    x = 25,894,895.46/4,927.94
  6. Step 6: Final answer
    x = 5,254.71

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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.