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Finding the Fourth Proportional to 4,203.56, 5,800.91 and 2,315.14

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Solution

The fourth proportional to 4,203.56, 5,800.91 and 2,315.14 is: 3,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.56 : 5,800.91 = 2,315.14 : x
  2. Step 2: Convert to fraction form
    4,203.56/5,800.91 = 2,315.14/x
  3. Step 3: Cross multiply
    4,203.56x = 5,800.91 × 2,315.14
  4. Step 4: Simplify right side
    4,203.56x = 13,429,910.06
  5. Step 5: Solve for x
    x = 13,429,910.06/4,203.56
  6. Step 6: Final answer
    x = 3,194.89

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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.