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Finding the Fourth Proportional to 7,057.20, 9,739.20 and 3,870.30

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Solution

The fourth proportional to 7,057.20, 9,739.20 and 3,870.30 is: 5,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.20 : 9,739.20 = 3,870.30 : x
  2. Step 2: Convert to fraction form
    7,057.20/9,739.20 = 3,870.30/x
  3. Step 3: Cross multiply
    7,057.20x = 9,739.20 × 3,870.30
  4. Step 4: Simplify right side
    7,057.20x = 37,693,676.80
  5. Step 5: Solve for x
    x = 37,693,676.80/7,057.20
  6. Step 6: Final answer
    x = 5,341.16

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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.