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Finding the Fourth Proportional to 5,742.81, 8,600.54 and 3,989.57

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Solution

The fourth proportional to 5,742.81, 8,600.54 and 3,989.57 is: 5,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.81 : 8,600.54 = 3,989.57 : x
  2. Step 2: Convert to fraction form
    5,742.81/8,600.54 = 3,989.57/x
  3. Step 3: Cross multiply
    5,742.81x = 8,600.54 × 3,989.57
  4. Step 4: Simplify right side
    5,742.81x = 34,312,393.42
  5. Step 5: Solve for x
    x = 34,312,393.42/5,742.81
  6. Step 6: Final answer
    x = 5,974.84

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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.