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Finding the Fourth Proportional to 4,782.69, 6,601.10 and 3,013.11

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Solution

The fourth proportional to 4,782.69, 6,601.10 and 3,013.11 is: 4,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.69 : 6,601.10 = 3,013.11 : x
  2. Step 2: Convert to fraction form
    4,782.69/6,601.10 = 3,013.11/x
  3. Step 3: Cross multiply
    4,782.69x = 6,601.10 × 3,013.11
  4. Step 4: Simplify right side
    4,782.69x = 19,889,825.36
  5. Step 5: Solve for x
    x = 19,889,825.36/4,782.69
  6. Step 6: Final answer
    x = 4,158.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.