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Finding the Fourth Proportional to 5,425.97, 7,488 and 3,068.06

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Solution

The fourth proportional to 5,425.97, 7,488 and 3,068.06 is: 4,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.97 : 7,488 = 3,068.06 : x
  2. Step 2: Convert to fraction form
    5,425.97/7,488 = 3,068.06/x
  3. Step 3: Cross multiply
    5,425.97x = 7,488 × 3,068.06
  4. Step 4: Simplify right side
    5,425.97x = 22,973,652
  5. Step 5: Solve for x
    x = 22,973,652/5,425.97
  6. Step 6: Final answer
    x = 4,234.02

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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.