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Finding the Fourth Proportional to 4,709.45, 6,495.52 and 3,215

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Solution

The fourth proportional to 4,709.45, 6,495.52 and 3,215 is: 4,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.45 : 6,495.52 = 3,215 : x
  2. Step 2: Convert to fraction form
    4,709.45/6,495.52 = 3,215/x
  3. Step 3: Cross multiply
    4,709.45x = 6,495.52 × 3,215
  4. Step 4: Simplify right side
    4,709.45x = 20,883,096.80
  5. Step 5: Solve for x
    x = 20,883,096.80/4,709.45
  6. Step 6: Final answer
    x = 4,434.30

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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.