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Finding the Fourth Proportional to 3,259.32, 4,859.94 and 3,201

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Solution

The fourth proportional to 3,259.32, 4,859.94 and 3,201 is: 4,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.32 : 4,859.94 = 3,201 : x
  2. Step 2: Convert to fraction form
    3,259.32/4,859.94 = 3,201/x
  3. Step 3: Cross multiply
    3,259.32x = 4,859.94 × 3,201
  4. Step 4: Simplify right side
    3,259.32x = 15,556,667.94
  5. Step 5: Solve for x
    x = 15,556,667.94/3,259.32
  6. Step 6: Final answer
    x = 4,772.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.