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Finding the Fourth Proportional to 5,653.14, 8,478.99 and 3,566.85

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Solution

The fourth proportional to 5,653.14, 8,478.99 and 3,566.85 is: 5,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.14 : 8,478.99 = 3,566.85 : x
  2. Step 2: Convert to fraction form
    5,653.14/8,478.99 = 3,566.85/x
  3. Step 3: Cross multiply
    5,653.14x = 8,478.99 × 3,566.85
  4. Step 4: Simplify right side
    5,653.14x = 30,243,285.48
  5. Step 5: Solve for x
    x = 30,243,285.48/5,653.14
  6. Step 6: Final answer
    x = 5,349.82

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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.