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Finding the Fourth Proportional to 5,856.50, 8,770.95 and 5,082.81

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Solution

The fourth proportional to 5,856.50, 8,770.95 and 5,082.81 is: 7,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.50 : 8,770.95 = 5,082.81 : x
  2. Step 2: Convert to fraction form
    5,856.50/8,770.95 = 5,082.81/x
  3. Step 3: Cross multiply
    5,856.50x = 8,770.95 × 5,082.81
  4. Step 4: Simplify right side
    5,856.50x = 44,581,046.96
  5. Step 5: Solve for x
    x = 44,581,046.96/5,856.50
  6. Step 6: Final answer
    x = 7,612.23

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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.