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Finding the Fourth Proportional to 3,468.47, 5,202.48 and 1,494.02

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Solution

The fourth proportional to 3,468.47, 5,202.48 and 1,494.02 is: 2,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.47 : 5,202.48 = 1,494.02 : x
  2. Step 2: Convert to fraction form
    3,468.47/5,202.48 = 1,494.02/x
  3. Step 3: Cross multiply
    3,468.47x = 5,202.48 × 1,494.02
  4. Step 4: Simplify right side
    3,468.47x = 7,772,604.74
  5. Step 5: Solve for x
    x = 7,772,604.74/3,468.47
  6. Step 6: Final answer
    x = 2,240.93

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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.