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Finding the Fourth Proportional to 5,373.84, 8,043.90 and 3,698.16

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Solution

The fourth proportional to 5,373.84, 8,043.90 and 3,698.16 is: 5,535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,373.84 : 8,043.90 = 3,698.16 : x
  2. Step 2: Convert to fraction form
    5,373.84/8,043.90 = 3,698.16/x
  3. Step 3: Cross multiply
    5,373.84x = 8,043.90 × 3,698.16
  4. Step 4: Simplify right side
    5,373.84x = 29,747,629.22
  5. Step 5: Solve for x
    x = 29,747,629.22/5,373.84
  6. Step 6: Final answer
    x = 5,535.64

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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.