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Finding the Fourth Proportional to 3,409.54, 4,706.37 and 2,514.32

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Solution

The fourth proportional to 3,409.54, 4,706.37 and 2,514.32 is: 3,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.54 : 4,706.37 = 2,514.32 : x
  2. Step 2: Convert to fraction form
    3,409.54/4,706.37 = 2,514.32/x
  3. Step 3: Cross multiply
    3,409.54x = 4,706.37 × 2,514.32
  4. Step 4: Simplify right side
    3,409.54x = 11,833,340.81
  5. Step 5: Solve for x
    x = 11,833,340.81/3,409.54
  6. Step 6: Final answer
    x = 3,470.65

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Why These Related Problems?

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