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Finding the Fourth Proportional to 5,409.81, 7,461.21 and 3,730.83

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Solution

The fourth proportional to 5,409.81, 7,461.21 and 3,730.83 is: 5,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.81 : 7,461.21 = 3,730.83 : x
  2. Step 2: Convert to fraction form
    5,409.81/7,461.21 = 3,730.83/x
  3. Step 3: Cross multiply
    5,409.81x = 7,461.21 × 3,730.83
  4. Step 4: Simplify right side
    5,409.81x = 27,836,506.10
  5. Step 5: Solve for x
    x = 27,836,506.10/5,409.81
  6. Step 6: Final answer
    x = 5,145.56

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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.