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Finding the Fourth Proportional to 5,207.39, 7,830.93 and 4,155.60

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Solution

The fourth proportional to 5,207.39, 7,830.93 and 4,155.60 is: 6,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.39 : 7,830.93 = 4,155.60 : x
  2. Step 2: Convert to fraction form
    5,207.39/7,830.93 = 4,155.60/x
  3. Step 3: Cross multiply
    5,207.39x = 7,830.93 × 4,155.60
  4. Step 4: Simplify right side
    5,207.39x = 32,542,234.28
  5. Step 5: Solve for x
    x = 32,542,234.28/5,207.39
  6. Step 6: Final answer
    x = 6,249.24

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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.