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Finding the Fourth Proportional to 4,668.84, 7,001.10 and 2,072.52

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Solution

The fourth proportional to 4,668.84, 7,001.10 and 2,072.52 is: 3,107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.84 : 7,001.10 = 2,072.52 : x
  2. Step 2: Convert to fraction form
    4,668.84/7,001.10 = 2,072.52/x
  3. Step 3: Cross multiply
    4,668.84x = 7,001.10 × 2,072.52
  4. Step 4: Simplify right side
    4,668.84x = 14,509,919.77
  5. Step 5: Solve for x
    x = 14,509,919.77/4,668.84
  6. Step 6: Final answer
    x = 3,107.82

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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.