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Finding the Fourth Proportional to 4,086.59, 5,639.02 and 2,384.51

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Solution

The fourth proportional to 4,086.59, 5,639.02 and 2,384.51 is: 3,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.59 : 5,639.02 = 2,384.51 : x
  2. Step 2: Convert to fraction form
    4,086.59/5,639.02 = 2,384.51/x
  3. Step 3: Cross multiply
    4,086.59x = 5,639.02 × 2,384.51
  4. Step 4: Simplify right side
    4,086.59x = 13,446,265.42
  5. Step 5: Solve for x
    x = 13,446,265.42/4,086.59
  6. Step 6: Final answer
    x = 3,290.34

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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.