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Finding the Fourth Proportional to 4,340.62, 6,509.64 and 1,874.86

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Solution

The fourth proportional to 4,340.62, 6,509.64 and 1,874.86 is: 2,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.62 : 6,509.64 = 1,874.86 : x
  2. Step 2: Convert to fraction form
    4,340.62/6,509.64 = 1,874.86/x
  3. Step 3: Cross multiply
    4,340.62x = 6,509.64 × 1,874.86
  4. Step 4: Simplify right side
    4,340.62x = 12,204,663.65
  5. Step 5: Solve for x
    x = 12,204,663.65/4,340.62
  6. Step 6: Final answer
    x = 2,811.73

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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.