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Finding the Fourth Proportional to 3,433.64, 5,148.50 and 1,093.19

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Solution

The fourth proportional to 3,433.64, 5,148.50 and 1,093.19 is: 1,639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.64 : 5,148.50 = 1,093.19 : x
  2. Step 2: Convert to fraction form
    3,433.64/5,148.50 = 1,093.19/x
  3. Step 3: Cross multiply
    3,433.64x = 5,148.50 × 1,093.19
  4. Step 4: Simplify right side
    3,433.64x = 5,628,257.51
  5. Step 5: Solve for x
    x = 5,628,257.51/3,433.64
  6. Step 6: Final answer
    x = 1,639.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.