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Finding the Fourth Proportional to 5,214.54, 7,823.97 and 2,905.50

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Solution

The fourth proportional to 5,214.54, 7,823.97 and 2,905.50 is: 4,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.54 : 7,823.97 = 2,905.50 : x
  2. Step 2: Convert to fraction form
    5,214.54/7,823.97 = 2,905.50/x
  3. Step 3: Cross multiply
    5,214.54x = 7,823.97 × 2,905.50
  4. Step 4: Simplify right side
    5,214.54x = 22,732,544.84
  5. Step 5: Solve for x
    x = 22,732,544.84/5,214.54
  6. Step 6: Final answer
    x = 4,359.45

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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.