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Finding the Fourth Proportional to 4,260.70, 6,383.13 and 2,314.54

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Solution

The fourth proportional to 4,260.70, 6,383.13 and 2,314.54 is: 3,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,260.70 : 6,383.13 = 2,314.54 : x
  2. Step 2: Convert to fraction form
    4,260.70/6,383.13 = 2,314.54/x
  3. Step 3: Cross multiply
    4,260.70x = 6,383.13 × 2,314.54
  4. Step 4: Simplify right side
    4,260.70x = 14,774,009.71
  5. Step 5: Solve for x
    x = 14,774,009.71/4,260.70
  6. Step 6: Final answer
    x = 3,467.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.