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Finding the Fourth Proportional to 3,514.77, 4,852.64 and 2,256.37

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Solution

The fourth proportional to 3,514.77, 4,852.64 and 2,256.37 is: 3,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.77 : 4,852.64 = 2,256.37 : x
  2. Step 2: Convert to fraction form
    3,514.77/4,852.64 = 2,256.37/x
  3. Step 3: Cross multiply
    3,514.77x = 4,852.64 × 2,256.37
  4. Step 4: Simplify right side
    3,514.77x = 10,949,344.83
  5. Step 5: Solve for x
    x = 10,949,344.83/3,514.77
  6. Step 6: Final answer
    x = 3,115.24

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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.