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Finding the Fourth Proportional to 5,946.24, 8,916.32 and 3,481.84

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Solution

The fourth proportional to 5,946.24, 8,916.32 and 3,481.84 is: 5,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.24 : 8,916.32 = 3,481.84 : x
  2. Step 2: Convert to fraction form
    5,946.24/8,916.32 = 3,481.84/x
  3. Step 3: Cross multiply
    5,946.24x = 8,916.32 × 3,481.84
  4. Step 4: Simplify right side
    5,946.24x = 31,045,199.63
  5. Step 5: Solve for x
    x = 31,045,199.63/5,946.24
  6. Step 6: Final answer
    x = 5,220.98

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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.