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Finding the Fourth Proportional to 4,175.51, 6,260.51 and 1,709.66

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Solution

The fourth proportional to 4,175.51, 6,260.51 and 1,709.66 is: 2,563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.51 : 6,260.51 = 1,709.66 : x
  2. Step 2: Convert to fraction form
    4,175.51/6,260.51 = 1,709.66/x
  3. Step 3: Cross multiply
    4,175.51x = 6,260.51 × 1,709.66
  4. Step 4: Simplify right side
    4,175.51x = 10,703,303.68
  5. Step 5: Solve for x
    x = 10,703,303.68/4,175.51
  6. Step 6: Final answer
    x = 2,563.36

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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.