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Finding the Fourth Proportional to 3,597.98, 5,396.34 and 1,001.12

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Solution

The fourth proportional to 3,597.98, 5,396.34 and 1,001.12 is: 1,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.98 : 5,396.34 = 1,001.12 : x
  2. Step 2: Convert to fraction form
    3,597.98/5,396.34 = 1,001.12/x
  3. Step 3: Cross multiply
    3,597.98x = 5,396.34 × 1,001.12
  4. Step 4: Simplify right side
    3,597.98x = 5,402,383.90
  5. Step 5: Solve for x
    x = 5,402,383.90/3,597.98
  6. Step 6: Final answer
    x = 1,501.50

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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.