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Finding the Fourth Proportional to 4,806.17, 7,210.23 and 2,032.85

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Solution

The fourth proportional to 4,806.17, 7,210.23 and 2,032.85 is: 3,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.17 : 7,210.23 = 2,032.85 : x
  2. Step 2: Convert to fraction form
    4,806.17/7,210.23 = 2,032.85/x
  3. Step 3: Cross multiply
    4,806.17x = 7,210.23 × 2,032.85
  4. Step 4: Simplify right side
    4,806.17x = 14,657,316.06
  5. Step 5: Solve for x
    x = 14,657,316.06/4,806.17
  6. Step 6: Final answer
    x = 3,049.69

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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.