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Finding the Fourth Proportional to 4,494.71, 6,742.07 and 1,208.14

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Solution

The fourth proportional to 4,494.71, 6,742.07 and 1,208.14 is: 1,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.71 : 6,742.07 = 1,208.14 : x
  2. Step 2: Convert to fraction form
    4,494.71/6,742.07 = 1,208.14/x
  3. Step 3: Cross multiply
    4,494.71x = 6,742.07 × 1,208.14
  4. Step 4: Simplify right side
    4,494.71x = 8,145,364.45
  5. Step 5: Solve for x
    x = 8,145,364.45/4,494.71
  6. Step 6: Final answer
    x = 1,812.21

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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.