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Finding the Fourth Proportional to 3,525.54, 5,287.54 and 1,059.87

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Solution

The fourth proportional to 3,525.54, 5,287.54 and 1,059.87 is: 1,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.54 : 5,287.54 = 1,059.87 : x
  2. Step 2: Convert to fraction form
    3,525.54/5,287.54 = 1,059.87/x
  3. Step 3: Cross multiply
    3,525.54x = 5,287.54 × 1,059.87
  4. Step 4: Simplify right side
    3,525.54x = 5,604,105.02
  5. Step 5: Solve for x
    x = 5,604,105.02/3,525.54
  6. Step 6: Final answer
    x = 1,589.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.