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Finding the Fourth Proportional to 3,525.90, 5,289.06 and 928.83

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Solution

The fourth proportional to 3,525.90, 5,289.06 and 928.83 is: 1,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.90 : 5,289.06 = 928.83 : x
  2. Step 2: Convert to fraction form
    3,525.90/5,289.06 = 928.83/x
  3. Step 3: Cross multiply
    3,525.90x = 5,289.06 × 928.83
  4. Step 4: Simplify right side
    3,525.90x = 4,912,660.92
  5. Step 5: Solve for x
    x = 4,912,660.92/3,525.90
  6. Step 6: Final answer
    x = 1,393.31

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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.