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Finding the Fourth Proportional to 3,740.49, 5,164.10 and 3,325.35

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Solution

The fourth proportional to 3,740.49, 5,164.10 and 3,325.35 is: 4,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.49 : 5,164.10 = 3,325.35 : x
  2. Step 2: Convert to fraction form
    3,740.49/5,164.10 = 3,325.35/x
  3. Step 3: Cross multiply
    3,740.49x = 5,164.10 × 3,325.35
  4. Step 4: Simplify right side
    3,740.49x = 17,172,423.31
  5. Step 5: Solve for x
    x = 17,172,423.31/3,740.49
  6. Step 6: Final answer
    x = 4,590.96

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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.