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Finding the Fourth Proportional to 5,694.60, 8,541.90 and 5,475.90

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Solution

The fourth proportional to 5,694.60, 8,541.90 and 5,475.90 is: 8,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.60 : 8,541.90 = 5,475.90 : x
  2. Step 2: Convert to fraction form
    5,694.60/8,541.90 = 5,475.90/x
  3. Step 3: Cross multiply
    5,694.60x = 8,541.90 × 5,475.90
  4. Step 4: Simplify right side
    5,694.60x = 46,774,590.21
  5. Step 5: Solve for x
    x = 46,774,590.21/5,694.60
  6. Step 6: Final answer
    x = 8,213.85

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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.