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Finding the Fourth Proportional to 3,624.84, 5,005.11 and 2,784.21

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Solution

The fourth proportional to 3,624.84, 5,005.11 and 2,784.21 is: 3,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.84 : 5,005.11 = 2,784.21 : x
  2. Step 2: Convert to fraction form
    3,624.84/5,005.11 = 2,784.21/x
  3. Step 3: Cross multiply
    3,624.84x = 5,005.11 × 2,784.21
  4. Step 4: Simplify right side
    3,624.84x = 13,935,263.39
  5. Step 5: Solve for x
    x = 13,935,263.39/3,624.84
  6. Step 6: Final answer
    x = 3,844.38

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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.