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Finding the Fourth Proportional to 4,534.56, 6,806.16 and 2,315.07

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Solution

The fourth proportional to 4,534.56, 6,806.16 and 2,315.07 is: 3,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.56 : 6,806.16 = 2,315.07 : x
  2. Step 2: Convert to fraction form
    4,534.56/6,806.16 = 2,315.07/x
  3. Step 3: Cross multiply
    4,534.56x = 6,806.16 × 2,315.07
  4. Step 4: Simplify right side
    4,534.56x = 15,756,736.83
  5. Step 5: Solve for x
    x = 15,756,736.83/4,534.56
  6. Step 6: Final answer
    x = 3,474.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.