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Finding the Fourth Proportional to 4,122.99, 5,689.75 and 2,306.01

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Solution

The fourth proportional to 4,122.99, 5,689.75 and 2,306.01 is: 3,182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.99 : 5,689.75 = 2,306.01 : x
  2. Step 2: Convert to fraction form
    4,122.99/5,689.75 = 2,306.01/x
  3. Step 3: Cross multiply
    4,122.99x = 5,689.75 × 2,306.01
  4. Step 4: Simplify right side
    4,122.99x = 13,120,614.63
  5. Step 5: Solve for x
    x = 13,120,614.63/4,122.99
  6. Step 6: Final answer
    x = 3,182.31

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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.