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Finding the Fourth Proportional to 5,753.76, 8,628.51 and 2,055

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Solution

The fourth proportional to 5,753.76, 8,628.51 and 2,055 is: 3,081.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.76 : 8,628.51 = 2,055 : x
  2. Step 2: Convert to fraction form
    5,753.76/8,628.51 = 2,055/x
  3. Step 3: Cross multiply
    5,753.76x = 8,628.51 × 2,055
  4. Step 4: Simplify right side
    5,753.76x = 17,731,588.05
  5. Step 5: Solve for x
    x = 17,731,588.05/5,753.76
  6. Step 6: Final answer
    x = 3,081.74

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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.