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Finding the Fourth Proportional to 5,632.29, 7,772.29 and 3,242.07

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Solution

The fourth proportional to 5,632.29, 7,772.29 and 3,242.07 is: 4,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.29 : 7,772.29 = 3,242.07 : x
  2. Step 2: Convert to fraction form
    5,632.29/7,772.29 = 3,242.07/x
  3. Step 3: Cross multiply
    5,632.29x = 7,772.29 × 3,242.07
  4. Step 4: Simplify right side
    5,632.29x = 25,198,300.14
  5. Step 5: Solve for x
    x = 25,198,300.14/5,632.29
  6. Step 6: Final answer
    x = 4,473.90

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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.