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Finding the Fourth Proportional to 5,313.83, 7,970.21 and 1,616.09

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Solution

The fourth proportional to 5,313.83, 7,970.21 and 1,616.09 is: 2,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.83 : 7,970.21 = 1,616.09 : x
  2. Step 2: Convert to fraction form
    5,313.83/7,970.21 = 1,616.09/x
  3. Step 3: Cross multiply
    5,313.83x = 7,970.21 × 1,616.09
  4. Step 4: Simplify right side
    5,313.83x = 12,880,528.75
  5. Step 5: Solve for x
    x = 12,880,528.75/5,313.83
  6. Step 6: Final answer
    x = 2,423.97

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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.