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Finding the Fourth Proportional to 3,476.04, 5,214.69 and 1,167

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Solution

The fourth proportional to 3,476.04, 5,214.69 and 1,167 is: 1,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.04 : 5,214.69 = 1,167 : x
  2. Step 2: Convert to fraction form
    3,476.04/5,214.69 = 1,167/x
  3. Step 3: Cross multiply
    3,476.04x = 5,214.69 × 1,167
  4. Step 4: Simplify right side
    3,476.04x = 6,085,543.23
  5. Step 5: Solve for x
    x = 6,085,543.23/3,476.04
  6. Step 6: Final answer
    x = 1,750.71

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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.