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Finding the Fourth Proportional to 4,191.43, 5,783.87 and 2,423

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Solution

The fourth proportional to 4,191.43, 5,783.87 and 2,423 is: 3,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.43 : 5,783.87 = 2,423 : x
  2. Step 2: Convert to fraction form
    4,191.43/5,783.87 = 2,423/x
  3. Step 3: Cross multiply
    4,191.43x = 5,783.87 × 2,423
  4. Step 4: Simplify right side
    4,191.43x = 14,014,317.01
  5. Step 5: Solve for x
    x = 14,014,317.01/4,191.43
  6. Step 6: Final answer
    x = 3,343.56

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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.