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Finding the Fourth Proportional to 5,578.40, 8,351.40 and 5,416.40

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Solution

The fourth proportional to 5,578.40, 8,351.40 and 5,416.40 is: 8,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.40 : 8,351.40 = 5,416.40 : x
  2. Step 2: Convert to fraction form
    5,578.40/8,351.40 = 5,416.40/x
  3. Step 3: Cross multiply
    5,578.40x = 8,351.40 × 5,416.40
  4. Step 4: Simplify right side
    5,578.40x = 45,234,522.96
  5. Step 5: Solve for x
    x = 45,234,522.96/5,578.40
  6. Step 6: Final answer
    x = 8,108.87

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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.