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Finding the Fourth Proportional to 5,774.70, 8,662.05 and 5,410.20

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Solution

The fourth proportional to 5,774.70, 8,662.05 and 5,410.20 is: 8,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.70 : 8,662.05 = 5,410.20 : x
  2. Step 2: Convert to fraction form
    5,774.70/8,662.05 = 5,410.20/x
  3. Step 3: Cross multiply
    5,774.70x = 8,662.05 × 5,410.20
  4. Step 4: Simplify right side
    5,774.70x = 46,863,422.91
  5. Step 5: Solve for x
    x = 46,863,422.91/5,774.70
  6. Step 6: Final answer
    x = 8,115.30

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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.