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Finding the Fourth Proportional to 5,077.46, 7,006.94 and 2,839.46

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Solution

The fourth proportional to 5,077.46, 7,006.94 and 2,839.46 is: 3,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.46 : 7,006.94 = 2,839.46 : x
  2. Step 2: Convert to fraction form
    5,077.46/7,006.94 = 2,839.46/x
  3. Step 3: Cross multiply
    5,077.46x = 7,006.94 × 2,839.46
  4. Step 4: Simplify right side
    5,077.46x = 19,895,899.25
  5. Step 5: Solve for x
    x = 19,895,899.25/5,077.46
  6. Step 6: Final answer
    x = 3,918.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.