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Finding the Fourth Proportional to 5,313.86, 7,970.27 and 1,616.12

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Solution

The fourth proportional to 5,313.86, 7,970.27 and 1,616.12 is: 2,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.86 : 7,970.27 = 1,616.12 : x
  2. Step 2: Convert to fraction form
    5,313.86/7,970.27 = 1,616.12/x
  3. Step 3: Cross multiply
    5,313.86x = 7,970.27 × 1,616.12
  4. Step 4: Simplify right side
    5,313.86x = 12,880,864.82
  5. Step 5: Solve for x
    x = 12,880,864.82/5,313.86
  6. Step 6: Final answer
    x = 2,424.02

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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.