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Finding the Fourth Proportional to 3,503.30, 5,254.64 and 1,163.06

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Solution

The fourth proportional to 3,503.30, 5,254.64 and 1,163.06 is: 1,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.30 : 5,254.64 = 1,163.06 : x
  2. Step 2: Convert to fraction form
    3,503.30/5,254.64 = 1,163.06/x
  3. Step 3: Cross multiply
    3,503.30x = 5,254.64 × 1,163.06
  4. Step 4: Simplify right side
    3,503.30x = 6,111,461.60
  5. Step 5: Solve for x
    x = 6,111,461.60/3,503.30
  6. Step 6: Final answer
    x = 1,744.49

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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.