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Finding the Fourth Proportional to 3,468.03, 5,202.74 and 1,276.71

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Solution

The fourth proportional to 3,468.03, 5,202.74 and 1,276.71 is: 1,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.03 : 5,202.74 = 1,276.71 : x
  2. Step 2: Convert to fraction form
    3,468.03/5,202.74 = 1,276.71/x
  3. Step 3: Cross multiply
    3,468.03x = 5,202.74 × 1,276.71
  4. Step 4: Simplify right side
    3,468.03x = 6,642,393.38
  5. Step 5: Solve for x
    x = 6,642,393.38/3,468.03
  6. Step 6: Final answer
    x = 1,915.32

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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.