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Finding the Fourth Proportional to 3,685.76, 5,537.81 and 3,271.04

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Solution

The fourth proportional to 3,685.76, 5,537.81 and 3,271.04 is: 4,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.76 : 5,537.81 = 3,271.04 : x
  2. Step 2: Convert to fraction form
    3,685.76/5,537.81 = 3,271.04/x
  3. Step 3: Cross multiply
    3,685.76x = 5,537.81 × 3,271.04
  4. Step 4: Simplify right side
    3,685.76x = 18,114,378.51
  5. Step 5: Solve for x
    x = 18,114,378.51/3,685.76
  6. Step 6: Final answer
    x = 4,914.70

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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.