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Finding the Fourth Proportional to 3,597.50, 5,396.52 and 1,289

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Solution

The fourth proportional to 3,597.50, 5,396.52 and 1,289 is: 1,933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.50 : 5,396.52 = 1,289 : x
  2. Step 2: Convert to fraction form
    3,597.50/5,396.52 = 1,289/x
  3. Step 3: Cross multiply
    3,597.50x = 5,396.52 × 1,289
  4. Step 4: Simplify right side
    3,597.50x = 6,956,114.28
  5. Step 5: Solve for x
    x = 6,956,114.28/3,597.50
  6. Step 6: Final answer
    x = 1,933.60

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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.