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Finding the Fourth Proportional to 4,269.64, 6,371.84 and 4,214.56

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Solution

The fourth proportional to 4,269.64, 6,371.84 and 4,214.56 is: 6,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.64 : 6,371.84 = 4,214.56 : x
  2. Step 2: Convert to fraction form
    4,269.64/6,371.84 = 4,214.56/x
  3. Step 3: Cross multiply
    4,269.64x = 6,371.84 × 4,214.56
  4. Step 4: Simplify right side
    4,269.64x = 26,854,501.99
  5. Step 5: Solve for x
    x = 26,854,501.99/4,269.64
  6. Step 6: Final answer
    x = 6,289.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.