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Finding the Fourth Proportional to 3,597.39, 5,396.75 and 1,405.98

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Solution

The fourth proportional to 3,597.39, 5,396.75 and 1,405.98 is: 2,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.39 : 5,396.75 = 1,405.98 : x
  2. Step 2: Convert to fraction form
    3,597.39/5,396.75 = 1,405.98/x
  3. Step 3: Cross multiply
    3,597.39x = 5,396.75 × 1,405.98
  4. Step 4: Simplify right side
    3,597.39x = 7,587,720.81
  5. Step 5: Solve for x
    x = 7,587,720.81/3,597.39
  6. Step 6: Final answer
    x = 2,109.23

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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.