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Finding the Fourth Proportional to 3,823.03, 5,720.05 and 2,263.87

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Solution

The fourth proportional to 3,823.03, 5,720.05 and 2,263.87 is: 3,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.03 : 5,720.05 = 2,263.87 : x
  2. Step 2: Convert to fraction form
    3,823.03/5,720.05 = 2,263.87/x
  3. Step 3: Cross multiply
    3,823.03x = 5,720.05 × 2,263.87
  4. Step 4: Simplify right side
    3,823.03x = 12,949,409.67
  5. Step 5: Solve for x
    x = 12,949,409.67/3,823.03
  6. Step 6: Final answer
    x = 3,387.22

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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.