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Finding the Fourth Proportional to 3,458.63, 5,188.03 and 1,150.13

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Solution

The fourth proportional to 3,458.63, 5,188.03 and 1,150.13 is: 1,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.63 : 5,188.03 = 1,150.13 : x
  2. Step 2: Convert to fraction form
    3,458.63/5,188.03 = 1,150.13/x
  3. Step 3: Cross multiply
    3,458.63x = 5,188.03 × 1,150.13
  4. Step 4: Simplify right side
    3,458.63x = 5,966,880.13
  5. Step 5: Solve for x
    x = 5,966,880.13/3,458.63
  6. Step 6: Final answer
    x = 1,725.22

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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.