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Finding the Fourth Proportional to 4,378, 6,042.36 and 2,514.64

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Solution

The fourth proportional to 4,378, 6,042.36 and 2,514.64 is: 3,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378 : 6,042.36 = 2,514.64 : x
  2. Step 2: Convert to fraction form
    4,378/6,042.36 = 2,514.64/x
  3. Step 3: Cross multiply
    4,378x = 6,042.36 × 2,514.64
  4. Step 4: Simplify right side
    4,378x = 15,194,360.15
  5. Step 5: Solve for x
    x = 15,194,360.15/4,378
  6. Step 6: Final answer
    x = 3,470.62

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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.