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Finding the Fourth Proportional to 4,190.85, 5,784.10 and 2,423.50

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Solution

The fourth proportional to 4,190.85, 5,784.10 and 2,423.50 is: 3,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.85 : 5,784.10 = 2,423.50 : x
  2. Step 2: Convert to fraction form
    4,190.85/5,784.10 = 2,423.50/x
  3. Step 3: Cross multiply
    4,190.85x = 5,784.10 × 2,423.50
  4. Step 4: Simplify right side
    4,190.85x = 14,017,745.83
  5. Step 5: Solve for x
    x = 14,017,745.83/4,190.85
  6. Step 6: Final answer
    x = 3,344.85

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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.