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Finding the Fourth Proportional to 3,474.50, 5,211.79 and 877.44

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Solution

The fourth proportional to 3,474.50, 5,211.79 and 877.44 is: 1,316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.50 : 5,211.79 = 877.44 : x
  2. Step 2: Convert to fraction form
    3,474.50/5,211.79 = 877.44/x
  3. Step 3: Cross multiply
    3,474.50x = 5,211.79 × 877.44
  4. Step 4: Simplify right side
    3,474.50x = 4,573,030.82
  5. Step 5: Solve for x
    x = 4,573,030.82/3,474.50
  6. Step 6: Final answer
    x = 1,316.17

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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.