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Finding the Fourth Proportional to 4,806.26, 7,210.34 and 2,032.90

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Solution

The fourth proportional to 4,806.26, 7,210.34 and 2,032.90 is: 3,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.26 : 7,210.34 = 2,032.90 : x
  2. Step 2: Convert to fraction form
    4,806.26/7,210.34 = 2,032.90/x
  3. Step 3: Cross multiply
    4,806.26x = 7,210.34 × 2,032.90
  4. Step 4: Simplify right side
    4,806.26x = 14,657,900.19
  5. Step 5: Solve for x
    x = 14,657,900.19/4,806.26
  6. Step 6: Final answer
    x = 3,049.75

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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.