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Finding the Fourth Proportional to 4,218.75, 6,328.29 and 1,447.32

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Solution

The fourth proportional to 4,218.75, 6,328.29 and 1,447.32 is: 2,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.75 : 6,328.29 = 1,447.32 : x
  2. Step 2: Convert to fraction form
    4,218.75/6,328.29 = 1,447.32/x
  3. Step 3: Cross multiply
    4,218.75x = 6,328.29 × 1,447.32
  4. Step 4: Simplify right side
    4,218.75x = 9,159,080.12
  5. Step 5: Solve for x
    x = 9,159,080.12/4,218.75
  6. Step 6: Final answer
    x = 2,171.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.