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Finding the Fourth Proportional to 6,214.51, 8,576.23 and 3,562.42

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Solution

The fourth proportional to 6,214.51, 8,576.23 and 3,562.42 is: 4,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.51 : 8,576.23 = 3,562.42 : x
  2. Step 2: Convert to fraction form
    6,214.51/8,576.23 = 3,562.42/x
  3. Step 3: Cross multiply
    6,214.51x = 8,576.23 × 3,562.42
  4. Step 4: Simplify right side
    6,214.51x = 30,552,115.46
  5. Step 5: Solve for x
    x = 30,552,115.46/6,214.51
  6. Step 6: Final answer
    x = 4,916.25

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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.