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Finding the Fourth Proportional to 4,199.61, 5,797.86 and 2,709.72

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Solution

The fourth proportional to 4,199.61, 5,797.86 and 2,709.72 is: 3,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.61 : 5,797.86 = 2,709.72 : x
  2. Step 2: Convert to fraction form
    4,199.61/5,797.86 = 2,709.72/x
  3. Step 3: Cross multiply
    4,199.61x = 5,797.86 × 2,709.72
  4. Step 4: Simplify right side
    4,199.61x = 15,710,577.20
  5. Step 5: Solve for x
    x = 15,710,577.20/4,199.61
  6. Step 6: Final answer
    x = 3,740.96

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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.