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Finding the Fourth Proportional to 4,604.48, 6,906.72 and 2,006

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Solution

The fourth proportional to 4,604.48, 6,906.72 and 2,006 is: 3,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.48 : 6,906.72 = 2,006 : x
  2. Step 2: Convert to fraction form
    4,604.48/6,906.72 = 2,006/x
  3. Step 3: Cross multiply
    4,604.48x = 6,906.72 × 2,006
  4. Step 4: Simplify right side
    4,604.48x = 13,854,880.32
  5. Step 5: Solve for x
    x = 13,854,880.32/4,604.48
  6. Step 6: Final answer
    x = 3,009.00

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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.