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Finding the Fourth Proportional to 3,458.22, 5,185.68 and 1,813.14

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Solution

The fourth proportional to 3,458.22, 5,185.68 and 1,813.14 is: 2,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.22 : 5,185.68 = 1,813.14 : x
  2. Step 2: Convert to fraction form
    3,458.22/5,185.68 = 1,813.14/x
  3. Step 3: Cross multiply
    3,458.22x = 5,185.68 × 1,813.14
  4. Step 4: Simplify right side
    3,458.22x = 9,402,363.84
  5. Step 5: Solve for x
    x = 9,402,363.84/3,458.22
  6. Step 6: Final answer
    x = 2,718.84

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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.