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Finding the Fourth Proportional to 4,352.82, 6,528.55 and 1,431.10

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Solution

The fourth proportional to 4,352.82, 6,528.55 and 1,431.10 is: 2,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.82 : 6,528.55 = 1,431.10 : x
  2. Step 2: Convert to fraction form
    4,352.82/6,528.55 = 1,431.10/x
  3. Step 3: Cross multiply
    4,352.82x = 6,528.55 × 1,431.10
  4. Step 4: Simplify right side
    4,352.82x = 9,343,007.91
  5. Step 5: Solve for x
    x = 9,343,007.91/4,352.82
  6. Step 6: Final answer
    x = 2,146.43

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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.