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Finding the Fourth Proportional to 4,313.48, 6,470.22 and 3,443.72

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Solution

The fourth proportional to 4,313.48, 6,470.22 and 3,443.72 is: 5,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.48 : 6,470.22 = 3,443.72 : x
  2. Step 2: Convert to fraction form
    4,313.48/6,470.22 = 3,443.72/x
  3. Step 3: Cross multiply
    4,313.48x = 6,470.22 × 3,443.72
  4. Step 4: Simplify right side
    4,313.48x = 22,281,626.02
  5. Step 5: Solve for x
    x = 22,281,626.02/4,313.48
  6. Step 6: Final answer
    x = 5,165.58

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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.