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Finding the Fourth Proportional to 3,458.50, 5,188.07 and 1,378.00

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Solution

The fourth proportional to 3,458.50, 5,188.07 and 1,378.00 is: 2,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.50 : 5,188.07 = 1,378.00 : x
  2. Step 2: Convert to fraction form
    3,458.50/5,188.07 = 1,378.00/x
  3. Step 3: Cross multiply
    3,458.50x = 5,188.07 × 1,378.00
  4. Step 4: Simplify right side
    3,458.50x = 7,149,127.63
  5. Step 5: Solve for x
    x = 7,149,127.63/3,458.50
  6. Step 6: Final answer
    x = 2,067.12

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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.