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Finding the Fourth Proportional to 3,485.31, 5,228 and 1,020.18

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Solution

The fourth proportional to 3,485.31, 5,228 and 1,020.18 is: 1,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.31 : 5,228 = 1,020.18 : x
  2. Step 2: Convert to fraction form
    3,485.31/5,228 = 1,020.18/x
  3. Step 3: Cross multiply
    3,485.31x = 5,228 × 1,020.18
  4. Step 4: Simplify right side
    3,485.31x = 5,333,501.04
  5. Step 5: Solve for x
    x = 5,333,501.04/3,485.31
  6. Step 6: Final answer
    x = 1,530.28

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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.