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Finding the Fourth Proportional to 5,905.12, 8,860.12 and 2,984.28

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Solution

The fourth proportional to 5,905.12, 8,860.12 and 2,984.28 is: 4,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.12 : 8,860.12 = 2,984.28 : x
  2. Step 2: Convert to fraction form
    5,905.12/8,860.12 = 2,984.28/x
  3. Step 3: Cross multiply
    5,905.12x = 8,860.12 × 2,984.28
  4. Step 4: Simplify right side
    5,905.12x = 26,441,078.91
  5. Step 5: Solve for x
    x = 26,441,078.91/5,905.12
  6. Step 6: Final answer
    x = 4,477.65

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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.