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Finding the Fourth Proportional to 4,783.83, 7,187.02 and 2,814.51

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Solution

The fourth proportional to 4,783.83, 7,187.02 and 2,814.51 is: 4,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.83 : 7,187.02 = 2,814.51 : x
  2. Step 2: Convert to fraction form
    4,783.83/7,187.02 = 2,814.51/x
  3. Step 3: Cross multiply
    4,783.83x = 7,187.02 × 2,814.51
  4. Step 4: Simplify right side
    4,783.83x = 20,227,939.66
  5. Step 5: Solve for x
    x = 20,227,939.66/4,783.83
  6. Step 6: Final answer
    x = 4,228.40

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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.