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Finding the Fourth Proportional to 3,187.76, 4,776.84 and 2,884.30

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Solution

The fourth proportional to 3,187.76, 4,776.84 and 2,884.30 is: 4,322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.76 : 4,776.84 = 2,884.30 : x
  2. Step 2: Convert to fraction form
    3,187.76/4,776.84 = 2,884.30/x
  3. Step 3: Cross multiply
    3,187.76x = 4,776.84 × 2,884.30
  4. Step 4: Simplify right side
    3,187.76x = 13,777,827.67
  5. Step 5: Solve for x
    x = 13,777,827.67/3,187.76
  6. Step 6: Final answer
    x = 4,322.11

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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.