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Finding the Fourth Proportional to 3,187.80, 4,776.48 and 3,066.30

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Solution

The fourth proportional to 3,187.80, 4,776.48 and 3,066.30 is: 4,594.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.80 : 4,776.48 = 3,066.30 : x
  2. Step 2: Convert to fraction form
    3,187.80/4,776.48 = 3,066.30/x
  3. Step 3: Cross multiply
    3,187.80x = 4,776.48 × 3,066.30
  4. Step 4: Simplify right side
    3,187.80x = 14,646,120.62
  5. Step 5: Solve for x
    x = 14,646,120.62/3,187.80
  6. Step 6: Final answer
    x = 4,594.43

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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.