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Finding the Fourth Proportional to 4,969.10, 7,455.10 and 2,006.02

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Solution

The fourth proportional to 4,969.10, 7,455.10 and 2,006.02 is: 3,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.10 : 7,455.10 = 2,006.02 : x
  2. Step 2: Convert to fraction form
    4,969.10/7,455.10 = 2,006.02/x
  3. Step 3: Cross multiply
    4,969.10x = 7,455.10 × 2,006.02
  4. Step 4: Simplify right side
    4,969.10x = 14,955,048.65
  5. Step 5: Solve for x
    x = 14,955,048.65/4,969.10
  6. Step 6: Final answer
    x = 3,009.61

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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.