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Finding the Fourth Proportional to 3,204.63, 4,807.38 and 1,124.15

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Solution

The fourth proportional to 3,204.63, 4,807.38 and 1,124.15 is: 1,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.63 : 4,807.38 = 1,124.15 : x
  2. Step 2: Convert to fraction form
    3,204.63/4,807.38 = 1,124.15/x
  3. Step 3: Cross multiply
    3,204.63x = 4,807.38 × 1,124.15
  4. Step 4: Simplify right side
    3,204.63x = 5,404,192.19
  5. Step 5: Solve for x
    x = 5,404,192.19/3,204.63
  6. Step 6: Final answer
    x = 1,686.37

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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.