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Finding the Fourth Proportional to 4,409.34, 6,614.43 and 1,289.37

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Solution

The fourth proportional to 4,409.34, 6,614.43 and 1,289.37 is: 1,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.34 : 6,614.43 = 1,289.37 : x
  2. Step 2: Convert to fraction form
    4,409.34/6,614.43 = 1,289.37/x
  3. Step 3: Cross multiply
    4,409.34x = 6,614.43 × 1,289.37
  4. Step 4: Simplify right side
    4,409.34x = 8,528,447.61
  5. Step 5: Solve for x
    x = 8,528,447.61/4,409.34
  6. Step 6: Final answer
    x = 1,934.18

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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.