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Finding the Fourth Proportional to 3,774.50, 5,657.64 and 3,225.02

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Solution

The fourth proportional to 3,774.50, 5,657.64 and 3,225.02 is: 4,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.50 : 5,657.64 = 3,225.02 : x
  2. Step 2: Convert to fraction form
    3,774.50/5,657.64 = 3,225.02/x
  3. Step 3: Cross multiply
    3,774.50x = 5,657.64 × 3,225.02
  4. Step 4: Simplify right side
    3,774.50x = 18,246,002.15
  5. Step 5: Solve for x
    x = 18,246,002.15/3,774.50
  6. Step 6: Final answer
    x = 4,834.02

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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.