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Finding the Fourth Proportional to 4,684.89, 7,028.64 and 1,398.09

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Solution

The fourth proportional to 4,684.89, 7,028.64 and 1,398.09 is: 2,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.89 : 7,028.64 = 1,398.09 : x
  2. Step 2: Convert to fraction form
    4,684.89/7,028.64 = 1,398.09/x
  3. Step 3: Cross multiply
    4,684.89x = 7,028.64 × 1,398.09
  4. Step 4: Simplify right side
    4,684.89x = 9,826,671.30
  5. Step 5: Solve for x
    x = 9,826,671.30/4,684.89
  6. Step 6: Final answer
    x = 2,097.52

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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.