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Finding the Fourth Proportional to 3,740.69, 5,164.35 and 3,325.55

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Solution

The fourth proportional to 3,740.69, 5,164.35 and 3,325.55 is: 4,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.69 : 5,164.35 = 3,325.55 : x
  2. Step 2: Convert to fraction form
    3,740.69/5,164.35 = 3,325.55/x
  3. Step 3: Cross multiply
    3,740.69x = 5,164.35 × 3,325.55
  4. Step 4: Simplify right side
    3,740.69x = 17,174,278.32
  5. Step 5: Solve for x
    x = 17,174,278.32/3,740.69
  6. Step 6: Final answer
    x = 4,591.21

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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.