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Finding the Fourth Proportional to 4,447.71, 6,140.34 and 2,957.67

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Solution

The fourth proportional to 4,447.71, 6,140.34 and 2,957.67 is: 4,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.71 : 6,140.34 = 2,957.67 : x
  2. Step 2: Convert to fraction form
    4,447.71/6,140.34 = 2,957.67/x
  3. Step 3: Cross multiply
    4,447.71x = 6,140.34 × 2,957.67
  4. Step 4: Simplify right side
    4,447.71x = 18,161,099.41
  5. Step 5: Solve for x
    x = 18,161,099.41/4,447.71
  6. Step 6: Final answer
    x = 4,083.25

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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.