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Finding the Fourth Proportional to 5,849.57, 8,082.71 and 4,334.95

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Solution

The fourth proportional to 5,849.57, 8,082.71 and 4,334.95 is: 5,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.57 : 8,082.71 = 4,334.95 : x
  2. Step 2: Convert to fraction form
    5,849.57/8,082.71 = 4,334.95/x
  3. Step 3: Cross multiply
    5,849.57x = 8,082.71 × 4,334.95
  4. Step 4: Simplify right side
    5,849.57x = 35,038,134.35
  5. Step 5: Solve for x
    x = 35,038,134.35/5,849.57
  6. Step 6: Final answer
    x = 5,989.87

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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.