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Finding the Fourth Proportional to 4,154.06, 5,732.16 and 2,291.06

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Solution

The fourth proportional to 4,154.06, 5,732.16 and 2,291.06 is: 3,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.06 : 5,732.16 = 2,291.06 : x
  2. Step 2: Convert to fraction form
    4,154.06/5,732.16 = 2,291.06/x
  3. Step 3: Cross multiply
    4,154.06x = 5,732.16 × 2,291.06
  4. Step 4: Simplify right side
    4,154.06x = 13,132,722.49
  5. Step 5: Solve for x
    x = 13,132,722.49/4,154.06
  6. Step 6: Final answer
    x = 3,161.42

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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.