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Finding the Fourth Proportional to 3,485.62, 5,228.04 and 1,020.46

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Solution

The fourth proportional to 3,485.62, 5,228.04 and 1,020.46 is: 1,530.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.62 : 5,228.04 = 1,020.46 : x
  2. Step 2: Convert to fraction form
    3,485.62/5,228.04 = 1,020.46/x
  3. Step 3: Cross multiply
    3,485.62x = 5,228.04 × 1,020.46
  4. Step 4: Simplify right side
    3,485.62x = 5,335,005.70
  5. Step 5: Solve for x
    x = 5,335,005.70/3,485.62
  6. Step 6: Final answer
    x = 1,530.58

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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.