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Finding the Fourth Proportional to 5,622.50, 8,435.70 and 2,504.70

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Solution

The fourth proportional to 5,622.50, 8,435.70 and 2,504.70 is: 3,757.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.50 : 8,435.70 = 2,504.70 : x
  2. Step 2: Convert to fraction form
    5,622.50/8,435.70 = 2,504.70/x
  3. Step 3: Cross multiply
    5,622.50x = 8,435.70 × 2,504.70
  4. Step 4: Simplify right side
    5,622.50x = 21,128,897.79
  5. Step 5: Solve for x
    x = 21,128,897.79/5,622.50
  6. Step 6: Final answer
    x = 3,757.92

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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.