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Finding the Fourth Proportional to 4,896.72, 7,359.66 and 4,534.65

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Solution

The fourth proportional to 4,896.72, 7,359.66 and 4,534.65 is: 6,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.72 : 7,359.66 = 4,534.65 : x
  2. Step 2: Convert to fraction form
    4,896.72/7,359.66 = 4,534.65/x
  3. Step 3: Cross multiply
    4,896.72x = 7,359.66 × 4,534.65
  4. Step 4: Simplify right side
    4,896.72x = 33,373,482.22
  5. Step 5: Solve for x
    x = 33,373,482.22/4,896.72
  6. Step 6: Final answer
    x = 6,815.48

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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.