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Finding the Fourth Proportional to 3,856.69, 5,323.54 and 2,971.36

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Solution

The fourth proportional to 3,856.69, 5,323.54 and 2,971.36 is: 4,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.69 : 5,323.54 = 2,971.36 : x
  2. Step 2: Convert to fraction form
    3,856.69/5,323.54 = 2,971.36/x
  3. Step 3: Cross multiply
    3,856.69x = 5,323.54 × 2,971.36
  4. Step 4: Simplify right side
    3,856.69x = 15,818,153.81
  5. Step 5: Solve for x
    x = 15,818,153.81/3,856.69
  6. Step 6: Final answer
    x = 4,101.48

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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.