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Finding the Fourth Proportional to 4,356.72, 6,007.92 and 2,782.08

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Solution

The fourth proportional to 4,356.72, 6,007.92 and 2,782.08 is: 3,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.72 : 6,007.92 = 2,782.08 : x
  2. Step 2: Convert to fraction form
    4,356.72/6,007.92 = 2,782.08/x
  3. Step 3: Cross multiply
    4,356.72x = 6,007.92 × 2,782.08
  4. Step 4: Simplify right side
    4,356.72x = 16,714,514.07
  5. Step 5: Solve for x
    x = 16,714,514.07/4,356.72
  6. Step 6: Final answer
    x = 3,836.49

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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.