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Finding the Fourth Proportional to 5,641.33, 7,784.93 and 3,123.38

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Solution

The fourth proportional to 5,641.33, 7,784.93 and 3,123.38 is: 4,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.33 : 7,784.93 = 3,123.38 : x
  2. Step 2: Convert to fraction form
    5,641.33/7,784.93 = 3,123.38/x
  3. Step 3: Cross multiply
    5,641.33x = 7,784.93 × 3,123.38
  4. Step 4: Simplify right side
    5,641.33x = 24,315,294.66
  5. Step 5: Solve for x
    x = 24,315,294.66/5,641.33
  6. Step 6: Final answer
    x = 4,310.21

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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.