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Finding the Fourth Proportional to 5,206.65, 7,186.08 and 5,033.64

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Solution

The fourth proportional to 5,206.65, 7,186.08 and 5,033.64 is: 6,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.65 : 7,186.08 = 5,033.64 : x
  2. Step 2: Convert to fraction form
    5,206.65/7,186.08 = 5,033.64/x
  3. Step 3: Cross multiply
    5,206.65x = 7,186.08 × 5,033.64
  4. Step 4: Simplify right side
    5,206.65x = 36,172,185.56
  5. Step 5: Solve for x
    x = 36,172,185.56/5,206.65
  6. Step 6: Final answer
    x = 6,947.31

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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.