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Finding the Fourth Proportional to 3,577.76, 4,937.27 and 1,984.49

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Solution

The fourth proportional to 3,577.76, 4,937.27 and 1,984.49 is: 2,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.76 : 4,937.27 = 1,984.49 : x
  2. Step 2: Convert to fraction form
    3,577.76/4,937.27 = 1,984.49/x
  3. Step 3: Cross multiply
    3,577.76x = 4,937.27 × 1,984.49
  4. Step 4: Simplify right side
    3,577.76x = 9,797,980.25
  5. Step 5: Solve for x
    x = 9,797,980.25/3,577.76
  6. Step 6: Final answer
    x = 2,738.58

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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.