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Finding the Fourth Proportional to 5,363, 8,038.92 and 2,244.80

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Solution

The fourth proportional to 5,363, 8,038.92 and 2,244.80 is: 3,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363 : 8,038.92 = 2,244.80 : x
  2. Step 2: Convert to fraction form
    5,363/8,038.92 = 2,244.80/x
  3. Step 3: Cross multiply
    5,363x = 8,038.92 × 2,244.80
  4. Step 4: Simplify right side
    5,363x = 18,045,767.62
  5. Step 5: Solve for x
    x = 18,045,767.62/5,363
  6. Step 6: Final answer
    x = 3,364.86

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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.