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Finding the Fourth Proportional to 3,485.40, 5,228.90 and 1,020.16

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Solution

The fourth proportional to 3,485.40, 5,228.90 and 1,020.16 is: 1,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.40 : 5,228.90 = 1,020.16 : x
  2. Step 2: Convert to fraction form
    3,485.40/5,228.90 = 1,020.16/x
  3. Step 3: Cross multiply
    3,485.40x = 5,228.90 × 1,020.16
  4. Step 4: Simplify right side
    3,485.40x = 5,334,314.62
  5. Step 5: Solve for x
    x = 5,334,314.62/3,485.40
  6. Step 6: Final answer
    x = 1,530.47

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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.