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Finding the Fourth Proportional to 3,754.76, 5,633.42 and 2,114.52

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Solution

The fourth proportional to 3,754.76, 5,633.42 and 2,114.52 is: 3,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.76 : 5,633.42 = 2,114.52 : x
  2. Step 2: Convert to fraction form
    3,754.76/5,633.42 = 2,114.52/x
  3. Step 3: Cross multiply
    3,754.76x = 5,633.42 × 2,114.52
  4. Step 4: Simplify right side
    3,754.76x = 11,911,979.26
  5. Step 5: Solve for x
    x = 11,911,979.26/3,754.76
  6. Step 6: Final answer
    x = 3,172.50

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1.5x scale

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.