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Finding the Fourth Proportional to 5,742.88, 8,608.56 and 4,763.68

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Solution

The fourth proportional to 5,742.88, 8,608.56 and 4,763.68 is: 7,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.88 : 8,608.56 = 4,763.68 : x
  2. Step 2: Convert to fraction form
    5,742.88/8,608.56 = 4,763.68/x
  3. Step 3: Cross multiply
    5,742.88x = 8,608.56 × 4,763.68
  4. Step 4: Simplify right side
    5,742.88x = 41,008,425.10
  5. Step 5: Solve for x
    x = 41,008,425.10/5,742.88
  6. Step 6: Final answer
    x = 7,140.74

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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.