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Finding the Fourth Proportional to 3,686.34, 5,516.82 and 2,280.18

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Solution

The fourth proportional to 3,686.34, 5,516.82 and 2,280.18 is: 3,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.34 : 5,516.82 = 2,280.18 : x
  2. Step 2: Convert to fraction form
    3,686.34/5,516.82 = 2,280.18/x
  3. Step 3: Cross multiply
    3,686.34x = 5,516.82 × 2,280.18
  4. Step 4: Simplify right side
    3,686.34x = 12,579,342.63
  5. Step 5: Solve for x
    x = 12,579,342.63/3,686.34
  6. Step 6: Final answer
    x = 3,412.42

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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.