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Finding the Fourth Proportional to 3,597.48, 5,395 and 1,406.84

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Solution

The fourth proportional to 3,597.48, 5,395 and 1,406.84 is: 2,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.48 : 5,395 = 1,406.84 : x
  2. Step 2: Convert to fraction form
    3,597.48/5,395 = 1,406.84/x
  3. Step 3: Cross multiply
    3,597.48x = 5,395 × 1,406.84
  4. Step 4: Simplify right side
    3,597.48x = 7,589,901.80
  5. Step 5: Solve for x
    x = 7,589,901.80/3,597.48
  6. Step 6: Final answer
    x = 2,109.78

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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.