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Finding the Fourth Proportional to 4,511.86, 6,768.83 and 1,590.19

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Solution

The fourth proportional to 4,511.86, 6,768.83 and 1,590.19 is: 2,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.86 : 6,768.83 = 1,590.19 : x
  2. Step 2: Convert to fraction form
    4,511.86/6,768.83 = 1,590.19/x
  3. Step 3: Cross multiply
    4,511.86x = 6,768.83 × 1,590.19
  4. Step 4: Simplify right side
    4,511.86x = 10,763,725.78
  5. Step 5: Solve for x
    x = 10,763,725.78/4,511.86
  6. Step 6: Final answer
    x = 2,385.65

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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.