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Finding the Fourth Proportional to 4,313.20, 6,460.20 and 4,217.20

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Solution

The fourth proportional to 4,313.20, 6,460.20 and 4,217.20 is: 6,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.20 : 6,460.20 = 4,217.20 : x
  2. Step 2: Convert to fraction form
    4,313.20/6,460.20 = 4,217.20/x
  3. Step 3: Cross multiply
    4,313.20x = 6,460.20 × 4,217.20
  4. Step 4: Simplify right side
    4,313.20x = 27,243,955.44
  5. Step 5: Solve for x
    x = 27,243,955.44/4,313.20
  6. Step 6: Final answer
    x = 6,316.41

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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.