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Finding the Fourth Proportional to 4,007.90, 6,012.50 and 1,234.57

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Solution

The fourth proportional to 4,007.90, 6,012.50 and 1,234.57 is: 1,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.90 : 6,012.50 = 1,234.57 : x
  2. Step 2: Convert to fraction form
    4,007.90/6,012.50 = 1,234.57/x
  3. Step 3: Cross multiply
    4,007.90x = 6,012.50 × 1,234.57
  4. Step 4: Simplify right side
    4,007.90x = 7,422,837.09
  5. Step 5: Solve for x
    x = 7,422,837.09/4,007.90
  6. Step 6: Final answer
    x = 1,852.05

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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.