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Finding the Fourth Proportional to 4,199.87, 5,796.81 and 2,432.45

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Solution

The fourth proportional to 4,199.87, 5,796.81 and 2,432.45 is: 3,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.87 : 5,796.81 = 2,432.45 : x
  2. Step 2: Convert to fraction form
    4,199.87/5,796.81 = 2,432.45/x
  3. Step 3: Cross multiply
    4,199.87x = 5,796.81 × 2,432.45
  4. Step 4: Simplify right side
    4,199.87x = 14,100,421.50
  5. Step 5: Solve for x
    x = 14,100,421.50/4,199.87
  6. Step 6: Final answer
    x = 3,357.35

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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.