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Finding the Fourth Proportional to 4,663.40, 6,979.87 and 2,910.00

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Solution

The fourth proportional to 4,663.40, 6,979.87 and 2,910.00 is: 4,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.40 : 6,979.87 = 2,910.00 : x
  2. Step 2: Convert to fraction form
    4,663.40/6,979.87 = 2,910.00/x
  3. Step 3: Cross multiply
    4,663.40x = 6,979.87 × 2,910.00
  4. Step 4: Simplify right side
    4,663.40x = 20,311,431.88
  5. Step 5: Solve for x
    x = 20,311,431.88/4,663.40
  6. Step 6: Final answer
    x = 4,355.50

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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.