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Finding the Fourth Proportional to 3,740.94, 5,607.69 and 2,098.86

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Solution

The fourth proportional to 3,740.94, 5,607.69 and 2,098.86 is: 3,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.94 : 5,607.69 = 2,098.86 : x
  2. Step 2: Convert to fraction form
    3,740.94/5,607.69 = 2,098.86/x
  3. Step 3: Cross multiply
    3,740.94x = 5,607.69 × 2,098.86
  4. Step 4: Simplify right side
    3,740.94x = 11,769,756.23
  5. Step 5: Solve for x
    x = 11,769,756.23/3,740.94
  6. Step 6: Final answer
    x = 3,146.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.