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Finding the Fourth Proportional to 4,929.98, 7,392.92 and 2,006.30

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Solution

The fourth proportional to 4,929.98, 7,392.92 and 2,006.30 is: 3,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.98 : 7,392.92 = 2,006.30 : x
  2. Step 2: Convert to fraction form
    4,929.98/7,392.92 = 2,006.30/x
  3. Step 3: Cross multiply
    4,929.98x = 7,392.92 × 2,006.30
  4. Step 4: Simplify right side
    4,929.98x = 14,832,415.40
  5. Step 5: Solve for x
    x = 14,832,415.40/4,929.98
  6. Step 6: Final answer
    x = 3,008.62

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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.