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Finding the Fourth Proportional to 5,709.60, 8,563.84 and 4,050.82

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Solution

The fourth proportional to 5,709.60, 8,563.84 and 4,050.82 is: 6,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.60 : 8,563.84 = 4,050.82 : x
  2. Step 2: Convert to fraction form
    5,709.60/8,563.84 = 4,050.82/x
  3. Step 3: Cross multiply
    5,709.60x = 8,563.84 × 4,050.82
  4. Step 4: Simplify right side
    5,709.60x = 34,690,574.35
  5. Step 5: Solve for x
    x = 34,690,574.35/5,709.60
  6. Step 6: Final answer
    x = 6,075.83

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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.