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Finding the Fourth Proportional to 3,525.90, 4,866.03 and 1,954.50

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Solution

The fourth proportional to 3,525.90, 4,866.03 and 1,954.50 is: 2,697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.90 : 4,866.03 = 1,954.50 : x
  2. Step 2: Convert to fraction form
    3,525.90/4,866.03 = 1,954.50/x
  3. Step 3: Cross multiply
    3,525.90x = 4,866.03 × 1,954.50
  4. Step 4: Simplify right side
    3,525.90x = 9,510,655.64
  5. Step 5: Solve for x
    x = 9,510,655.64/3,525.90
  6. Step 6: Final answer
    x = 2,697.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.