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Finding the Fourth Proportional to 3,449, 4,762.86 and 2,403.96

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Solution

The fourth proportional to 3,449, 4,762.86 and 2,403.96 is: 3,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449 : 4,762.86 = 2,403.96 : x
  2. Step 2: Convert to fraction form
    3,449/4,762.86 = 2,403.96/x
  3. Step 3: Cross multiply
    3,449x = 4,762.86 × 2,403.96
  4. Step 4: Simplify right side
    3,449x = 11,449,724.93
  5. Step 5: Solve for x
    x = 11,449,724.93/3,449
  6. Step 6: Final answer
    x = 3,319.72

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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.