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Finding the Fourth Proportional to 5,208.69, 7,188.56 and 2,971.11

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Solution

The fourth proportional to 5,208.69, 7,188.56 and 2,971.11 is: 4,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.69 : 7,188.56 = 2,971.11 : x
  2. Step 2: Convert to fraction form
    5,208.69/7,188.56 = 2,971.11/x
  3. Step 3: Cross multiply
    5,208.69x = 7,188.56 × 2,971.11
  4. Step 4: Simplify right side
    5,208.69x = 21,358,042.46
  5. Step 5: Solve for x
    x = 21,358,042.46/5,208.69
  6. Step 6: Final answer
    x = 4,100.46

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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.