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Finding the Fourth Proportional to 3,525.66, 5,290.52 and 1,333.80

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Solution

The fourth proportional to 3,525.66, 5,290.52 and 1,333.80 is: 2,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.66 : 5,290.52 = 1,333.80 : x
  2. Step 2: Convert to fraction form
    3,525.66/5,290.52 = 1,333.80/x
  3. Step 3: Cross multiply
    3,525.66x = 5,290.52 × 1,333.80
  4. Step 4: Simplify right side
    3,525.66x = 7,056,488.91
  5. Step 5: Solve for x
    x = 7,056,488.91/3,525.66
  6. Step 6: Final answer
    x = 2,001.47

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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.