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Finding the Fourth Proportional to 5,641.38, 7,783.56 and 3,283.20

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Solution

The fourth proportional to 5,641.38, 7,783.56 and 3,283.20 is: 4,529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.38 : 7,783.56 = 3,283.20 : x
  2. Step 2: Convert to fraction form
    5,641.38/7,783.56 = 3,283.20/x
  3. Step 3: Cross multiply
    5,641.38x = 7,783.56 × 3,283.20
  4. Step 4: Simplify right side
    5,641.38x = 25,554,984.19
  5. Step 5: Solve for x
    x = 25,554,984.19/5,641.38
  6. Step 6: Final answer
    x = 4,529.92

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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.