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Finding the Fourth Proportional to 5,495.08, 8,243.98 and 1,599.48

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Solution

The fourth proportional to 5,495.08, 8,243.98 and 1,599.48 is: 2,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.08 : 8,243.98 = 1,599.48 : x
  2. Step 2: Convert to fraction form
    5,495.08/8,243.98 = 1,599.48/x
  3. Step 3: Cross multiply
    5,495.08x = 8,243.98 × 1,599.48
  4. Step 4: Simplify right side
    5,495.08x = 13,186,081.13
  5. Step 5: Solve for x
    x = 13,186,081.13/5,495.08
  6. Step 6: Final answer
    x = 2,399.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.