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Finding the Fourth Proportional to 5,700.96, 8,546.45 and 2,416.41

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Solution

The fourth proportional to 5,700.96, 8,546.45 and 2,416.41 is: 3,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.96 : 8,546.45 = 2,416.41 : x
  2. Step 2: Convert to fraction form
    5,700.96/8,546.45 = 2,416.41/x
  3. Step 3: Cross multiply
    5,700.96x = 8,546.45 × 2,416.41
  4. Step 4: Simplify right side
    5,700.96x = 20,651,715.16
  5. Step 5: Solve for x
    x = 20,651,715.16/5,700.96
  6. Step 6: Final answer
    x = 3,622.50

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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.