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Finding the Fourth Proportional to 5,203.62, 7,176.32 and 3,437

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Solution

The fourth proportional to 5,203.62, 7,176.32 and 3,437 is: 4,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.62 : 7,176.32 = 3,437 : x
  2. Step 2: Convert to fraction form
    5,203.62/7,176.32 = 3,437/x
  3. Step 3: Cross multiply
    5,203.62x = 7,176.32 × 3,437
  4. Step 4: Simplify right side
    5,203.62x = 24,665,011.84
  5. Step 5: Solve for x
    x = 24,665,011.84/5,203.62
  6. Step 6: Final answer
    x = 4,739.97

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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.