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Finding the Fourth Proportional to 4,216.70, 6,320.36 and 1,581.68

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Solution

The fourth proportional to 4,216.70, 6,320.36 and 1,581.68 is: 2,370.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.70 : 6,320.36 = 1,581.68 : x
  2. Step 2: Convert to fraction form
    4,216.70/6,320.36 = 1,581.68/x
  3. Step 3: Cross multiply
    4,216.70x = 6,320.36 × 1,581.68
  4. Step 4: Simplify right side
    4,216.70x = 9,996,787.00
  5. Step 5: Solve for x
    x = 9,996,787.00/4,216.70
  6. Step 6: Final answer
    x = 2,370.76

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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.