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Finding the Fourth Proportional to 4,677.96, 6,455.42 and 2,814.60

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Solution

The fourth proportional to 4,677.96, 6,455.42 and 2,814.60 is: 3,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.96 : 6,455.42 = 2,814.60 : x
  2. Step 2: Convert to fraction form
    4,677.96/6,455.42 = 2,814.60/x
  3. Step 3: Cross multiply
    4,677.96x = 6,455.42 × 2,814.60
  4. Step 4: Simplify right side
    4,677.96x = 18,169,425.13
  5. Step 5: Solve for x
    x = 18,169,425.13/4,677.96
  6. Step 6: Final answer
    x = 3,884.05

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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.