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Finding the Fourth Proportional to 3,804.48, 5,230.05 and 3,271.40

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Solution

The fourth proportional to 3,804.48, 5,230.05 and 3,271.40 is: 4,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.48 : 5,230.05 = 3,271.40 : x
  2. Step 2: Convert to fraction form
    3,804.48/5,230.05 = 3,271.40/x
  3. Step 3: Cross multiply
    3,804.48x = 5,230.05 × 3,271.40
  4. Step 4: Simplify right side
    3,804.48x = 17,109,585.57
  5. Step 5: Solve for x
    x = 17,109,585.57/3,804.48
  6. Step 6: Final answer
    x = 4,497.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.