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Finding the Fourth Proportional to 5,175, 7,141.50 and 2,967

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Solution

The fourth proportional to 5,175, 7,141.50 and 2,967 is: 4,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175 : 7,141.50 = 2,967 : x
  2. Step 2: Convert to fraction form
    5,175/7,141.50 = 2,967/x
  3. Step 3: Cross multiply
    5,175x = 7,141.50 × 2,967
  4. Step 4: Simplify right side
    5,175x = 21,188,830.50
  5. Step 5: Solve for x
    x = 21,188,830.50/5,175
  6. Step 6: Final answer
    x = 4,094.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.