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Finding the Fourth Proportional to 5,074.34, 7,611.42 and 1,955.03

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Solution

The fourth proportional to 5,074.34, 7,611.42 and 1,955.03 is: 2,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.34 : 7,611.42 = 1,955.03 : x
  2. Step 2: Convert to fraction form
    5,074.34/7,611.42 = 1,955.03/x
  3. Step 3: Cross multiply
    5,074.34x = 7,611.42 × 1,955.03
  4. Step 4: Simplify right side
    5,074.34x = 14,880,521.27
  5. Step 5: Solve for x
    x = 14,880,521.27/5,074.34
  6. Step 6: Final answer
    x = 2,932.50

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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.