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Finding the Fourth Proportional to 4,514.83, 6,774.83 and 2,434.82

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Solution

The fourth proportional to 4,514.83, 6,774.83 and 2,434.82 is: 3,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.83 : 6,774.83 = 2,434.82 : x
  2. Step 2: Convert to fraction form
    4,514.83/6,774.83 = 2,434.82/x
  3. Step 3: Cross multiply
    4,514.83x = 6,774.83 × 2,434.82
  4. Step 4: Simplify right side
    4,514.83x = 16,495,491.58
  5. Step 5: Solve for x
    x = 16,495,491.58/4,514.83
  6. Step 6: Final answer
    x = 3,653.62

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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.