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Finding the Fourth Proportional to 4,409.54, 6,614.32 and 1,122.54

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Solution

The fourth proportional to 4,409.54, 6,614.32 and 1,122.54 is: 1,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.54 : 6,614.32 = 1,122.54 : x
  2. Step 2: Convert to fraction form
    4,409.54/6,614.32 = 1,122.54/x
  3. Step 3: Cross multiply
    4,409.54x = 6,614.32 × 1,122.54
  4. Step 4: Simplify right side
    4,409.54x = 7,424,838.77
  5. Step 5: Solve for x
    x = 7,424,838.77/4,409.54
  6. Step 6: Final answer
    x = 1,683.81

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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.