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Finding the Fourth Proportional to 5,759.90, 8,639.85 and 1,864.21

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Solution

The fourth proportional to 5,759.90, 8,639.85 and 1,864.21 is: 2,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.90 : 8,639.85 = 1,864.21 : x
  2. Step 2: Convert to fraction form
    5,759.90/8,639.85 = 1,864.21/x
  3. Step 3: Cross multiply
    5,759.90x = 8,639.85 × 1,864.21
  4. Step 4: Simplify right side
    5,759.90x = 16,106,494.77
  5. Step 5: Solve for x
    x = 16,106,494.77/5,759.90
  6. Step 6: Final answer
    x = 2,796.32

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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.