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Finding the Fourth Proportional to 4,534.93, 6,806.04 and 2,344.30

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Solution

The fourth proportional to 4,534.93, 6,806.04 and 2,344.30 is: 3,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.93 : 6,806.04 = 2,344.30 : x
  2. Step 2: Convert to fraction form
    4,534.93/6,806.04 = 2,344.30/x
  3. Step 3: Cross multiply
    4,534.93x = 6,806.04 × 2,344.30
  4. Step 4: Simplify right side
    4,534.93x = 15,955,399.57
  5. Step 5: Solve for x
    x = 15,955,399.57/4,534.93
  6. Step 6: Final answer
    x = 3,518.33

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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.