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Finding the Fourth Proportional to 6,448.66, 8,895.20 and 4,265.80

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Solution

The fourth proportional to 6,448.66, 8,895.20 and 4,265.80 is: 5,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.66 : 8,895.20 = 4,265.80 : x
  2. Step 2: Convert to fraction form
    6,448.66/8,895.20 = 4,265.80/x
  3. Step 3: Cross multiply
    6,448.66x = 8,895.20 × 4,265.80
  4. Step 4: Simplify right side
    6,448.66x = 37,945,180.11
  5. Step 5: Solve for x
    x = 37,945,180.11/6,448.66
  6. Step 6: Final answer
    x = 5,884.19

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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.