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Finding the Fourth Proportional to 5,954.10, 8,226.53 and 4,704.74

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Solution

The fourth proportional to 5,954.10, 8,226.53 and 4,704.74 is: 6,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.10 : 8,226.53 = 4,704.74 : x
  2. Step 2: Convert to fraction form
    5,954.10/8,226.53 = 4,704.74/x
  3. Step 3: Cross multiply
    5,954.10x = 8,226.53 × 4,704.74
  4. Step 4: Simplify right side
    5,954.10x = 38,703,684.75
  5. Step 5: Solve for x
    x = 38,703,684.75/5,954.10
  6. Step 6: Final answer
    x = 6,500.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.