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Finding the Fourth Proportional to 4,700.70, 6,452.37 and 4,157.69

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Solution

The fourth proportional to 4,700.70, 6,452.37 and 4,157.69 is: 5,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.70 : 6,452.37 = 4,157.69 : x
  2. Step 2: Convert to fraction form
    4,700.70/6,452.37 = 4,157.69/x
  3. Step 3: Cross multiply
    4,700.70x = 6,452.37 × 4,157.69
  4. Step 4: Simplify right side
    4,700.70x = 26,826,921.96
  5. Step 5: Solve for x
    x = 26,826,921.96/4,700.70
  6. Step 6: Final answer
    x = 5,707.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.