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Finding the Fourth Proportional to 5,675.92, 8,514.68 and 1,780.63

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Solution

The fourth proportional to 5,675.92, 8,514.68 and 1,780.63 is: 2,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.92 : 8,514.68 = 1,780.63 : x
  2. Step 2: Convert to fraction form
    5,675.92/8,514.68 = 1,780.63/x
  3. Step 3: Cross multiply
    5,675.92x = 8,514.68 × 1,780.63
  4. Step 4: Simplify right side
    5,675.92x = 15,161,494.65
  5. Step 5: Solve for x
    x = 15,161,494.65/5,675.92
  6. Step 6: Final answer
    x = 2,671.20

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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.