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Finding the Fourth Proportional to 5,495.64, 8,241.36 and 1,984.74

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Solution

The fourth proportional to 5,495.64, 8,241.36 and 1,984.74 is: 2,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.64 : 8,241.36 = 1,984.74 : x
  2. Step 2: Convert to fraction form
    5,495.64/8,241.36 = 1,984.74/x
  3. Step 3: Cross multiply
    5,495.64x = 8,241.36 × 1,984.74
  4. Step 4: Simplify right side
    5,495.64x = 16,356,956.85
  5. Step 5: Solve for x
    x = 16,356,956.85/5,495.64
  6. Step 6: Final answer
    x = 2,976.35

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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.