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Finding the Fourth Proportional to 4,693.52, 7,022.66 and 2,812.50

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Solution

The fourth proportional to 4,693.52, 7,022.66 and 2,812.50 is: 4,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.52 : 7,022.66 = 2,812.50 : x
  2. Step 2: Convert to fraction form
    4,693.52/7,022.66 = 2,812.50/x
  3. Step 3: Cross multiply
    4,693.52x = 7,022.66 × 2,812.50
  4. Step 4: Simplify right side
    4,693.52x = 19,751,231.25
  5. Step 5: Solve for x
    x = 19,751,231.25/4,693.52
  6. Step 6: Final answer
    x = 4,208.19

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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.