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Finding the Fourth Proportional to 4,551.14, 6,827.20 and 1,431.25

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Solution

The fourth proportional to 4,551.14, 6,827.20 and 1,431.25 is: 2,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.14 : 6,827.20 = 1,431.25 : x
  2. Step 2: Convert to fraction form
    4,551.14/6,827.20 = 1,431.25/x
  3. Step 3: Cross multiply
    4,551.14x = 6,827.20 × 1,431.25
  4. Step 4: Simplify right side
    4,551.14x = 9,771,409.35
  5. Step 5: Solve for x
    x = 9,771,409.35/4,551.14
  6. Step 6: Final answer
    x = 2,147.02

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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.