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Finding the Fourth Proportional to 5,685.41, 8,514.86 and 5,488.38

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Solution

The fourth proportional to 5,685.41, 8,514.86 and 5,488.38 is: 8,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.41 : 8,514.86 = 5,488.38 : x
  2. Step 2: Convert to fraction form
    5,685.41/8,514.86 = 5,488.38/x
  3. Step 3: Cross multiply
    5,685.41x = 8,514.86 × 5,488.38
  4. Step 4: Simplify right side
    5,685.41x = 46,732,759.88
  5. Step 5: Solve for x
    x = 46,732,759.88/5,685.41
  6. Step 6: Final answer
    x = 8,219.77

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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.