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Finding the Fourth Proportional to 3,775.52, 5,662.40 and 1,435.04

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Solution

The fourth proportional to 3,775.52, 5,662.40 and 1,435.04 is: 2,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.52 : 5,662.40 = 1,435.04 : x
  2. Step 2: Convert to fraction form
    3,775.52/5,662.40 = 1,435.04/x
  3. Step 3: Cross multiply
    3,775.52x = 5,662.40 × 1,435.04
  4. Step 4: Simplify right side
    3,775.52x = 8,125,770.50
  5. Step 5: Solve for x
    x = 8,125,770.50/3,775.52
  6. Step 6: Final answer
    x = 2,152.23

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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.