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Finding the Fourth Proportional to 3,684.39, 5,527.80 and 1,491.93

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Solution

The fourth proportional to 3,684.39, 5,527.80 and 1,491.93 is: 2,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.39 : 5,527.80 = 1,491.93 : x
  2. Step 2: Convert to fraction form
    3,684.39/5,527.80 = 1,491.93/x
  3. Step 3: Cross multiply
    3,684.39x = 5,527.80 × 1,491.93
  4. Step 4: Simplify right side
    3,684.39x = 8,247,090.65
  5. Step 5: Solve for x
    x = 8,247,090.65/3,684.39
  6. Step 6: Final answer
    x = 2,238.39

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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.