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Finding the Fourth Proportional to 4,806.28, 6,632.31 and 2,710

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Solution

The fourth proportional to 4,806.28, 6,632.31 and 2,710 is: 3,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.28 : 6,632.31 = 2,710 : x
  2. Step 2: Convert to fraction form
    4,806.28/6,632.31 = 2,710/x
  3. Step 3: Cross multiply
    4,806.28x = 6,632.31 × 2,710
  4. Step 4: Simplify right side
    4,806.28x = 17,973,560.10
  5. Step 5: Solve for x
    x = 17,973,560.10/4,806.28
  6. Step 6: Final answer
    x = 3,739.60

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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.