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Finding the Fourth Proportional to 4,476.34, 6,714.87 and 1,514.76

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Solution

The fourth proportional to 4,476.34, 6,714.87 and 1,514.76 is: 2,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.34 : 6,714.87 = 1,514.76 : x
  2. Step 2: Convert to fraction form
    4,476.34/6,714.87 = 1,514.76/x
  3. Step 3: Cross multiply
    4,476.34x = 6,714.87 × 1,514.76
  4. Step 4: Simplify right side
    4,476.34x = 10,171,382.91
  5. Step 5: Solve for x
    x = 10,171,382.91/4,476.34
  6. Step 6: Final answer
    x = 2,272.25

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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.