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Finding the Fourth Proportional to 4,313, 6,471.12 and 2,004.50

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Solution

The fourth proportional to 4,313, 6,471.12 and 2,004.50 is: 3,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313 : 6,471.12 = 2,004.50 : x
  2. Step 2: Convert to fraction form
    4,313/6,471.12 = 2,004.50/x
  3. Step 3: Cross multiply
    4,313x = 6,471.12 × 2,004.50
  4. Step 4: Simplify right side
    4,313x = 12,971,360.04
  5. Step 5: Solve for x
    x = 12,971,360.04/4,313
  6. Step 6: Final answer
    x = 3,007.50

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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.