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Finding the Fourth Proportional to 5,563.36, 8,339.92 and 4,324

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Solution

The fourth proportional to 5,563.36, 8,339.92 and 4,324 is: 6,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.36 : 8,339.92 = 4,324 : x
  2. Step 2: Convert to fraction form
    5,563.36/8,339.92 = 4,324/x
  3. Step 3: Cross multiply
    5,563.36x = 8,339.92 × 4,324
  4. Step 4: Simplify right side
    5,563.36x = 36,061,814.08
  5. Step 5: Solve for x
    x = 36,061,814.08/5,563.36
  6. Step 6: Final answer
    x = 6,482.02

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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.