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Finding the Fourth Proportional to 3,896, 5,844 and 1,160

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Solution

The fourth proportional to 3,896, 5,844 and 1,160 is: 1,740

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896 : 5,844 = 1,160 : x
  2. Step 2: Convert to fraction form
    3,896/5,844 = 1,160/x
  3. Step 3: Cross multiply
    3,896x = 5,844 × 1,160
  4. Step 4: Simplify right side
    3,896x = 6,779,040
  5. Step 5: Solve for x
    x = 6,779,040/3,896
  6. Step 6: Final answer
    x = 1,740

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.