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Finding the Fourth Proportional to 5,275.82, 7,904.94 and 3,713.03

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Solution

The fourth proportional to 5,275.82, 7,904.94 and 3,713.03 is: 5,563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.82 : 7,904.94 = 3,713.03 : x
  2. Step 2: Convert to fraction form
    5,275.82/7,904.94 = 3,713.03/x
  3. Step 3: Cross multiply
    5,275.82x = 7,904.94 × 3,713.03
  4. Step 4: Simplify right side
    5,275.82x = 29,351,279.37
  5. Step 5: Solve for x
    x = 29,351,279.37/5,275.82
  6. Step 6: Final answer
    x = 5,563.36

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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.