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Finding the Fourth Proportional to 4,313.64, 6,466.10 and 1,679.50

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Solution

The fourth proportional to 4,313.64, 6,466.10 and 1,679.50 is: 2,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.64 : 6,466.10 = 1,679.50 : x
  2. Step 2: Convert to fraction form
    4,313.64/6,466.10 = 1,679.50/x
  3. Step 3: Cross multiply
    4,313.64x = 6,466.10 × 1,679.50
  4. Step 4: Simplify right side
    4,313.64x = 10,859,802.98
  5. Step 5: Solve for x
    x = 10,859,802.98/4,313.64
  6. Step 6: Final answer
    x = 2,517.55

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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.