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Finding the Fourth Proportional to 4,693.62, 6,471.32 and 3,012.06

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Solution

The fourth proportional to 4,693.62, 6,471.32 and 3,012.06 is: 4,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.62 : 6,471.32 = 3,012.06 : x
  2. Step 2: Convert to fraction form
    4,693.62/6,471.32 = 3,012.06/x
  3. Step 3: Cross multiply
    4,693.62x = 6,471.32 × 3,012.06
  4. Step 4: Simplify right side
    4,693.62x = 19,491,989.06
  5. Step 5: Solve for x
    x = 19,491,989.06/4,693.62
  6. Step 6: Final answer
    x = 4,152.87

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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.