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Finding the Fourth Proportional to 3,676.32, 5,514.28 and 1,484.48

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Solution

The fourth proportional to 3,676.32, 5,514.28 and 1,484.48 is: 2,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.32 : 5,514.28 = 1,484.48 : x
  2. Step 2: Convert to fraction form
    3,676.32/5,514.28 = 1,484.48/x
  3. Step 3: Cross multiply
    3,676.32x = 5,514.28 × 1,484.48
  4. Step 4: Simplify right side
    3,676.32x = 8,185,838.37
  5. Step 5: Solve for x
    x = 8,185,838.37/3,676.32
  6. Step 6: Final answer
    x = 2,226.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.