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Finding the Fourth Proportional to 4,203.06, 5,800.26 and 2,340.06

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Solution

The fourth proportional to 4,203.06, 5,800.26 and 2,340.06 is: 3,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.06 : 5,800.26 = 2,340.06 : x
  2. Step 2: Convert to fraction form
    4,203.06/5,800.26 = 2,340.06/x
  3. Step 3: Cross multiply
    4,203.06x = 5,800.26 × 2,340.06
  4. Step 4: Simplify right side
    4,203.06x = 13,572,956.42
  5. Step 5: Solve for x
    x = 13,572,956.42/4,203.06
  6. Step 6: Final answer
    x = 3,229.30

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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.