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Finding the Fourth Proportional to 5,797.68, 7,989.75 and 5,691.05

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Solution

The fourth proportional to 5,797.68, 7,989.75 and 5,691.05 is: 7,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.68 : 7,989.75 = 5,691.05 : x
  2. Step 2: Convert to fraction form
    5,797.68/7,989.75 = 5,691.05/x
  3. Step 3: Cross multiply
    5,797.68x = 7,989.75 × 5,691.05
  4. Step 4: Simplify right side
    5,797.68x = 45,470,026.79
  5. Step 5: Solve for x
    x = 45,470,026.79/5,797.68
  6. Step 6: Final answer
    x = 7,842.80

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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.