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Finding the Fourth Proportional to 4,516.44, 6,773.04 and 1,918.50

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Solution

The fourth proportional to 4,516.44, 6,773.04 and 1,918.50 is: 2,877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.44 : 6,773.04 = 1,918.50 : x
  2. Step 2: Convert to fraction form
    4,516.44/6,773.04 = 1,918.50/x
  3. Step 3: Cross multiply
    4,516.44x = 6,773.04 × 1,918.50
  4. Step 4: Simplify right side
    4,516.44x = 12,994,077.24
  5. Step 5: Solve for x
    x = 12,994,077.24/4,516.44
  6. Step 6: Final answer
    x = 2,877.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.