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Finding the Fourth Proportional to 4,535.52, 6,814.07 and 2,895.27

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Solution

The fourth proportional to 4,535.52, 6,814.07 and 2,895.27 is: 4,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.52 : 6,814.07 = 2,895.27 : x
  2. Step 2: Convert to fraction form
    4,535.52/6,814.07 = 2,895.27/x
  3. Step 3: Cross multiply
    4,535.52x = 6,814.07 × 2,895.27
  4. Step 4: Simplify right side
    4,535.52x = 19,728,572.45
  5. Step 5: Solve for x
    x = 19,728,572.45/4,535.52
  6. Step 6: Final answer
    x = 4,349.79

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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.