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Finding the Fourth Proportional to 3,421.50, 5,125.95 and 3,052.53

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Solution

The fourth proportional to 3,421.50, 5,125.95 and 3,052.53 is: 4,573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.50 : 5,125.95 = 3,052.53 : x
  2. Step 2: Convert to fraction form
    3,421.50/5,125.95 = 3,052.53/x
  3. Step 3: Cross multiply
    3,421.50x = 5,125.95 × 3,052.53
  4. Step 4: Simplify right side
    3,421.50x = 15,647,116.15
  5. Step 5: Solve for x
    x = 15,647,116.15/3,421.50
  6. Step 6: Final answer
    x = 4,573.17

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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.