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Finding the Fourth Proportional to 3,525.66, 5,285.70 and 1,333.22

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Solution

The fourth proportional to 3,525.66, 5,285.70 and 1,333.22 is: 1,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.66 : 5,285.70 = 1,333.22 : x
  2. Step 2: Convert to fraction form
    3,525.66/5,285.70 = 1,333.22/x
  3. Step 3: Cross multiply
    3,525.66x = 5,285.70 × 1,333.22
  4. Step 4: Simplify right side
    3,525.66x = 7,046,974.53
  5. Step 5: Solve for x
    x = 7,046,974.53/3,525.66
  6. Step 6: Final answer
    x = 1,998.77

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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.