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Finding the Fourth Proportional to 3,734.01, 5,152.32 and 2,409.48

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Solution

The fourth proportional to 3,734.01, 5,152.32 and 2,409.48 is: 3,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.01 : 5,152.32 = 2,409.48 : x
  2. Step 2: Convert to fraction form
    3,734.01/5,152.32 = 2,409.48/x
  3. Step 3: Cross multiply
    3,734.01x = 5,152.32 × 2,409.48
  4. Step 4: Simplify right side
    3,734.01x = 12,414,411.99
  5. Step 5: Solve for x
    x = 12,414,411.99/3,734.01
  6. Step 6: Final answer
    x = 3,324.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.