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Finding the Fourth Proportional to 4,564.56, 6,309.72 and 4,072.08

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Solution

The fourth proportional to 4,564.56, 6,309.72 and 4,072.08 is: 5,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.56 : 6,309.72 = 4,072.08 : x
  2. Step 2: Convert to fraction form
    4,564.56/6,309.72 = 4,072.08/x
  3. Step 3: Cross multiply
    4,564.56x = 6,309.72 × 4,072.08
  4. Step 4: Simplify right side
    4,564.56x = 25,693,684.62
  5. Step 5: Solve for x
    x = 25,693,684.62/4,564.56
  6. Step 6: Final answer
    x = 5,628.95

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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.