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Finding the Fourth Proportional to 4,138.65, 6,208.40 and 1,326.50

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Solution

The fourth proportional to 4,138.65, 6,208.40 and 1,326.50 is: 1,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.65 : 6,208.40 = 1,326.50 : x
  2. Step 2: Convert to fraction form
    4,138.65/6,208.40 = 1,326.50/x
  3. Step 3: Cross multiply
    4,138.65x = 6,208.40 × 1,326.50
  4. Step 4: Simplify right side
    4,138.65x = 8,235,417.26
  5. Step 5: Solve for x
    x = 8,235,417.26/4,138.65
  6. Step 6: Final answer
    x = 1,989.88

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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.