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Finding the Fourth Proportional to 4,506.86, 6,760.35 and 1,874.63

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Solution

The fourth proportional to 4,506.86, 6,760.35 and 1,874.63 is: 2,811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.86 : 6,760.35 = 1,874.63 : x
  2. Step 2: Convert to fraction form
    4,506.86/6,760.35 = 1,874.63/x
  3. Step 3: Cross multiply
    4,506.86x = 6,760.35 × 1,874.63
  4. Step 4: Simplify right side
    4,506.86x = 12,673,121.12
  5. Step 5: Solve for x
    x = 12,673,121.12/4,506.86
  6. Step 6: Final answer
    x = 2,811.97

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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.