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Finding the Fourth Proportional to 3,485.90, 5,228.82 and 889.04

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Solution

The fourth proportional to 3,485.90, 5,228.82 and 889.04 is: 1,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.90 : 5,228.82 = 889.04 : x
  2. Step 2: Convert to fraction form
    3,485.90/5,228.82 = 889.04/x
  3. Step 3: Cross multiply
    3,485.90x = 5,228.82 × 889.04
  4. Step 4: Simplify right side
    3,485.90x = 4,648,630.13
  5. Step 5: Solve for x
    x = 4,648,630.13/3,485.90
  6. Step 6: Final answer
    x = 1,333.55

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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.