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Finding the Fourth Proportional to 5,835.51, 8,754.21 and 2,142.90

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Solution

The fourth proportional to 5,835.51, 8,754.21 and 2,142.90 is: 3,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.51 : 8,754.21 = 2,142.90 : x
  2. Step 2: Convert to fraction form
    5,835.51/8,754.21 = 2,142.90/x
  3. Step 3: Cross multiply
    5,835.51x = 8,754.21 × 2,142.90
  4. Step 4: Simplify right side
    5,835.51x = 18,759,396.61
  5. Step 5: Solve for x
    x = 18,759,396.61/5,835.51
  6. Step 6: Final answer
    x = 3,214.70

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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.