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Finding the Fourth Proportional to 3,578.50, 5,367.84 and 1,270

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Solution

The fourth proportional to 3,578.50, 5,367.84 and 1,270 is: 1,905.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.50 : 5,367.84 = 1,270 : x
  2. Step 2: Convert to fraction form
    3,578.50/5,367.84 = 1,270/x
  3. Step 3: Cross multiply
    3,578.50x = 5,367.84 × 1,270
  4. Step 4: Simplify right side
    3,578.50x = 6,817,156.80
  5. Step 5: Solve for x
    x = 6,817,156.80/3,578.50
  6. Step 6: Final answer
    x = 1,905.03

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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.