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Finding the Fourth Proportional to 6,154.54, 8,494.25 and 3,914.08

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Solution

The fourth proportional to 6,154.54, 8,494.25 and 3,914.08 is: 5,402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.54 : 8,494.25 = 3,914.08 : x
  2. Step 2: Convert to fraction form
    6,154.54/8,494.25 = 3,914.08/x
  3. Step 3: Cross multiply
    6,154.54x = 8,494.25 × 3,914.08
  4. Step 4: Simplify right side
    6,154.54x = 33,247,133.23
  5. Step 5: Solve for x
    x = 33,247,133.23/6,154.54
  6. Step 6: Final answer
    x = 5,402.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.