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Finding the Fourth Proportional to 4,810.24, 7,214.64 and 2,344.42

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Solution

The fourth proportional to 4,810.24, 7,214.64 and 2,344.42 is: 3,516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.24 : 7,214.64 = 2,344.42 : x
  2. Step 2: Convert to fraction form
    4,810.24/7,214.64 = 2,344.42/x
  3. Step 3: Cross multiply
    4,810.24x = 7,214.64 × 2,344.42
  4. Step 4: Simplify right side
    4,810.24x = 16,914,146.31
  5. Step 5: Solve for x
    x = 16,914,146.31/4,810.24
  6. Step 6: Final answer
    x = 3,516.28

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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.