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Finding the Fourth Proportional to 4,596.75, 6,895.13 and 2,001.51

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Solution

The fourth proportional to 4,596.75, 6,895.13 and 2,001.51 is: 3,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.75 : 6,895.13 = 2,001.51 : x
  2. Step 2: Convert to fraction form
    4,596.75/6,895.13 = 2,001.51/x
  3. Step 3: Cross multiply
    4,596.75x = 6,895.13 × 2,001.51
  4. Step 4: Simplify right side
    4,596.75x = 13,800,661.64
  5. Step 5: Solve for x
    x = 13,800,661.64/4,596.75
  6. Step 6: Final answer
    x = 3,002.27

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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.