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Finding the Fourth Proportional to 3,614.34, 5,417.62 and 2,364.46

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Solution

The fourth proportional to 3,614.34, 5,417.62 and 2,364.46 is: 3,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.34 : 5,417.62 = 2,364.46 : x
  2. Step 2: Convert to fraction form
    3,614.34/5,417.62 = 2,364.46/x
  3. Step 3: Cross multiply
    3,614.34x = 5,417.62 × 2,364.46
  4. Step 4: Simplify right side
    3,614.34x = 12,809,745.79
  5. Step 5: Solve for x
    x = 12,809,745.79/3,614.34
  6. Step 6: Final answer
    x = 3,544.15

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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.