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Finding the Fourth Proportional to 4,266.84, 6,400.62 and 2,077.50

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Solution

The fourth proportional to 4,266.84, 6,400.62 and 2,077.50 is: 3,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.84 : 6,400.62 = 2,077.50 : x
  2. Step 2: Convert to fraction form
    4,266.84/6,400.62 = 2,077.50/x
  3. Step 3: Cross multiply
    4,266.84x = 6,400.62 × 2,077.50
  4. Step 4: Simplify right side
    4,266.84x = 13,297,288.05
  5. Step 5: Solve for x
    x = 13,297,288.05/4,266.84
  6. Step 6: Final answer
    x = 3,116.43

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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.