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Finding the Fourth Proportional to 5,123.44, 7,675.44 and 2,528.20

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Solution

The fourth proportional to 5,123.44, 7,675.44 and 2,528.20 is: 3,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.44 : 7,675.44 = 2,528.20 : x
  2. Step 2: Convert to fraction form
    5,123.44/7,675.44 = 2,528.20/x
  3. Step 3: Cross multiply
    5,123.44x = 7,675.44 × 2,528.20
  4. Step 4: Simplify right side
    5,123.44x = 19,405,047.41
  5. Step 5: Solve for x
    x = 19,405,047.41/5,123.44
  6. Step 6: Final answer
    x = 3,787.50

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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.