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Finding the Fourth Proportional to 3,416.73, 5,125.10 and 2,444.73

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Solution

The fourth proportional to 3,416.73, 5,125.10 and 2,444.73 is: 3,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.73 : 5,125.10 = 2,444.73 : x
  2. Step 2: Convert to fraction form
    3,416.73/5,125.10 = 2,444.73/x
  3. Step 3: Cross multiply
    3,416.73x = 5,125.10 × 2,444.73
  4. Step 4: Simplify right side
    3,416.73x = 12,529,473.50
  5. Step 5: Solve for x
    x = 12,529,473.50/3,416.73
  6. Step 6: Final answer
    x = 3,667.10

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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.