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Finding the Fourth Proportional to 5,057.58, 6,980.10 and 3,068.02

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Solution

The fourth proportional to 5,057.58, 6,980.10 and 3,068.02 is: 4,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.58 : 6,980.10 = 3,068.02 : x
  2. Step 2: Convert to fraction form
    5,057.58/6,980.10 = 3,068.02/x
  3. Step 3: Cross multiply
    5,057.58x = 6,980.10 × 3,068.02
  4. Step 4: Simplify right side
    5,057.58x = 21,415,086.40
  5. Step 5: Solve for x
    x = 21,415,086.40/5,057.58
  6. Step 6: Final answer
    x = 4,234.26

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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.