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Finding the Fourth Proportional to 3,754.76, 5,180.76 and 2,182.01

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Solution

The fourth proportional to 3,754.76, 5,180.76 and 2,182.01 is: 3,010.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.76 : 5,180.76 = 2,182.01 : x
  2. Step 2: Convert to fraction form
    3,754.76/5,180.76 = 2,182.01/x
  3. Step 3: Cross multiply
    3,754.76x = 5,180.76 × 2,182.01
  4. Step 4: Simplify right side
    3,754.76x = 11,304,444.22
  5. Step 5: Solve for x
    x = 11,304,444.22/3,754.76
  6. Step 6: Final answer
    x = 3,010.70

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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.