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Finding the Fourth Proportional to 5,641.09, 7,784.49 and 3,123

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Solution

The fourth proportional to 5,641.09, 7,784.49 and 3,123 is: 4,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.09 : 7,784.49 = 3,123 : x
  2. Step 2: Convert to fraction form
    5,641.09/7,784.49 = 3,123/x
  3. Step 3: Cross multiply
    5,641.09x = 7,784.49 × 3,123
  4. Step 4: Simplify right side
    5,641.09x = 24,310,962.27
  5. Step 5: Solve for x
    x = 24,310,962.27/5,641.09
  6. Step 6: Final answer
    x = 4,309.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.