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Finding the Fourth Proportional to 3,579.30, 5,368.95 and 982.26

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Solution

The fourth proportional to 3,579.30, 5,368.95 and 982.26 is: 1,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.30 : 5,368.95 = 982.26 : x
  2. Step 2: Convert to fraction form
    3,579.30/5,368.95 = 982.26/x
  3. Step 3: Cross multiply
    3,579.30x = 5,368.95 × 982.26
  4. Step 4: Simplify right side
    3,579.30x = 5,273,704.83
  5. Step 5: Solve for x
    x = 5,273,704.83/3,579.30
  6. Step 6: Final answer
    x = 1,473.39

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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.