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Finding the Fourth Proportional to 3,784.66, 5,219.21 and 2,886.81

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Solution

The fourth proportional to 3,784.66, 5,219.21 and 2,886.81 is: 3,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.66 : 5,219.21 = 2,886.81 : x
  2. Step 2: Convert to fraction form
    3,784.66/5,219.21 = 2,886.81/x
  3. Step 3: Cross multiply
    3,784.66x = 5,219.21 × 2,886.81
  4. Step 4: Simplify right side
    3,784.66x = 15,066,849.18
  5. Step 5: Solve for x
    x = 15,066,849.18/3,784.66
  6. Step 6: Final answer
    x = 3,981.03

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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.