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Finding the Fourth Proportional to 4,191.87, 5,784.14 and 2,423.13

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Solution

The fourth proportional to 4,191.87, 5,784.14 and 2,423.13 is: 3,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.87 : 5,784.14 = 2,423.13 : x
  2. Step 2: Convert to fraction form
    4,191.87/5,784.14 = 2,423.13/x
  3. Step 3: Cross multiply
    4,191.87x = 5,784.14 × 2,423.13
  4. Step 4: Simplify right side
    4,191.87x = 14,015,711.04
  5. Step 5: Solve for x
    x = 14,015,711.04/4,191.87
  6. Step 6: Final answer
    x = 3,343.55

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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.