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Finding the Fourth Proportional to 5,260.93, 7,891.38 and 3,068.10

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Solution

The fourth proportional to 5,260.93, 7,891.38 and 3,068.10 is: 4,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.93 : 7,891.38 = 3,068.10 : x
  2. Step 2: Convert to fraction form
    5,260.93/7,891.38 = 3,068.10/x
  3. Step 3: Cross multiply
    5,260.93x = 7,891.38 × 3,068.10
  4. Step 4: Simplify right side
    5,260.93x = 24,211,542.98
  5. Step 5: Solve for x
    x = 24,211,542.98/5,260.93
  6. Step 6: Final answer
    x = 4,602.14

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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.