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Finding the Fourth Proportional to 5,425.98, 7,488 and 3,068.13

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Solution

The fourth proportional to 5,425.98, 7,488 and 3,068.13 is: 4,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.98 : 7,488 = 3,068.13 : x
  2. Step 2: Convert to fraction form
    5,425.98/7,488 = 3,068.13/x
  3. Step 3: Cross multiply
    5,425.98x = 7,488 × 3,068.13
  4. Step 4: Simplify right side
    5,425.98x = 22,974,157.44
  5. Step 5: Solve for x
    x = 22,974,157.44/5,425.98
  6. Step 6: Final answer
    x = 4,234.10

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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.