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Finding the Fourth Proportional to 4,695.36, 6,478.08 and 2,806.56

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Solution

The fourth proportional to 4,695.36, 6,478.08 and 2,806.56 is: 3,872.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.36 : 6,478.08 = 2,806.56 : x
  2. Step 2: Convert to fraction form
    4,695.36/6,478.08 = 2,806.56/x
  3. Step 3: Cross multiply
    4,695.36x = 6,478.08 × 2,806.56
  4. Step 4: Simplify right side
    4,695.36x = 18,181,120.20
  5. Step 5: Solve for x
    x = 18,181,120.20/4,695.36
  6. Step 6: Final answer
    x = 3,872.15

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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.