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Finding the Fourth Proportional to 5,152.62, 7,709.46 and 4,739.52

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Solution

The fourth proportional to 5,152.62, 7,709.46 and 4,739.52 is: 7,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.62 : 7,709.46 = 4,739.52 : x
  2. Step 2: Convert to fraction form
    5,152.62/7,709.46 = 4,739.52/x
  3. Step 3: Cross multiply
    5,152.62x = 7,709.46 × 4,739.52
  4. Step 4: Simplify right side
    5,152.62x = 36,539,139.86
  5. Step 5: Solve for x
    x = 36,539,139.86/5,152.62
  6. Step 6: Final answer
    x = 7,091.37

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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.