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Finding the Fourth Proportional to 4,305.66, 6,459.51 and 1,383.96

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Solution

The fourth proportional to 4,305.66, 6,459.51 and 1,383.96 is: 2,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.66 : 6,459.51 = 1,383.96 : x
  2. Step 2: Convert to fraction form
    4,305.66/6,459.51 = 1,383.96/x
  3. Step 3: Cross multiply
    4,305.66x = 6,459.51 × 1,383.96
  4. Step 4: Simplify right side
    4,305.66x = 8,939,708.87
  5. Step 5: Solve for x
    x = 8,939,708.87/4,305.66
  6. Step 6: Final answer
    x = 2,076.27

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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.