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Finding the Fourth Proportional to 4,927.72, 6,802.76 and 3,806.14

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Solution

The fourth proportional to 4,927.72, 6,802.76 and 3,806.14 is: 5,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.72 : 6,802.76 = 3,806.14 : x
  2. Step 2: Convert to fraction form
    4,927.72/6,802.76 = 3,806.14/x
  3. Step 3: Cross multiply
    4,927.72x = 6,802.76 × 3,806.14
  4. Step 4: Simplify right side
    4,927.72x = 25,892,256.95
  5. Step 5: Solve for x
    x = 25,892,256.95/4,927.72
  6. Step 6: Final answer
    x = 5,254.41

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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.