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Finding the Fourth Proportional to 7,057.30, 9,739.65 and 3,914.50

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Solution

The fourth proportional to 7,057.30, 9,739.65 and 3,914.50 is: 5,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.30 : 9,739.65 = 3,914.50 : x
  2. Step 2: Convert to fraction form
    7,057.30/9,739.65 = 3,914.50/x
  3. Step 3: Cross multiply
    7,057.30x = 9,739.65 × 3,914.50
  4. Step 4: Simplify right side
    7,057.30x = 38,125,859.93
  5. Step 5: Solve for x
    x = 38,125,859.93/7,057.30
  6. Step 6: Final answer
    x = 5,402.33

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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.