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Finding the Fourth Proportional to 5,783.49, 8,674.29 and 1,623.78

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Solution

The fourth proportional to 5,783.49, 8,674.29 and 1,623.78 is: 2,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.49 : 8,674.29 = 1,623.78 : x
  2. Step 2: Convert to fraction form
    5,783.49/8,674.29 = 1,623.78/x
  3. Step 3: Cross multiply
    5,783.49x = 8,674.29 × 1,623.78
  4. Step 4: Simplify right side
    5,783.49x = 14,085,138.62
  5. Step 5: Solve for x
    x = 14,085,138.62/5,783.49
  6. Step 6: Final answer
    x = 2,435.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.