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Finding the Fourth Proportional to 5,952.66, 8,931.42 and 3,285.33

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Solution

The fourth proportional to 5,952.66, 8,931.42 and 3,285.33 is: 4,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.66 : 8,931.42 = 3,285.33 : x
  2. Step 2: Convert to fraction form
    5,952.66/8,931.42 = 3,285.33/x
  3. Step 3: Cross multiply
    5,952.66x = 8,931.42 × 3,285.33
  4. Step 4: Simplify right side
    5,952.66x = 29,342,662.07
  5. Step 5: Solve for x
    x = 29,342,662.07/5,952.66
  6. Step 6: Final answer
    x = 4,929.34

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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.