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Finding the Fourth Proportional to 3,684.91, 5,528.16 and 1,219.61

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Solution

The fourth proportional to 3,684.91, 5,528.16 and 1,219.61 is: 1,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.91 : 5,528.16 = 1,219.61 : x
  2. Step 2: Convert to fraction form
    3,684.91/5,528.16 = 1,219.61/x
  3. Step 3: Cross multiply
    3,684.91x = 5,528.16 × 1,219.61
  4. Step 4: Simplify right side
    3,684.91x = 6,742,199.22
  5. Step 5: Solve for x
    x = 6,742,199.22/3,684.91
  6. Step 6: Final answer
    x = 1,829.68

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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.