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Finding the Fourth Proportional to 4,783.84, 7,169.07 and 2,318

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Solution

The fourth proportional to 4,783.84, 7,169.07 and 2,318 is: 3,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.84 : 7,169.07 = 2,318 : x
  2. Step 2: Convert to fraction form
    4,783.84/7,169.07 = 2,318/x
  3. Step 3: Cross multiply
    4,783.84x = 7,169.07 × 2,318
  4. Step 4: Simplify right side
    4,783.84x = 16,617,904.26
  5. Step 5: Solve for x
    x = 16,617,904.26/4,783.84
  6. Step 6: Final answer
    x = 3,473.76

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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.