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Finding the Fourth Proportional to 5,291, 7,301.58 and 2,933.50

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Solution

The fourth proportional to 5,291, 7,301.58 and 2,933.50 is: 4,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291 : 7,301.58 = 2,933.50 : x
  2. Step 2: Convert to fraction form
    5,291/7,301.58 = 2,933.50/x
  3. Step 3: Cross multiply
    5,291x = 7,301.58 × 2,933.50
  4. Step 4: Simplify right side
    5,291x = 21,419,184.93
  5. Step 5: Solve for x
    x = 21,419,184.93/5,291
  6. Step 6: Final answer
    x = 4,048.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.