Home / 5,102.54-7,654.52-1,592.80

Finding the Fourth Proportional to 5,102.54, 7,654.52 and 1,592.80

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Solution

The fourth proportional to 5,102.54, 7,654.52 and 1,592.80 is: 2,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.54 : 7,654.52 = 1,592.80 : x
  2. Step 2: Convert to fraction form
    5,102.54/7,654.52 = 1,592.80/x
  3. Step 3: Cross multiply
    5,102.54x = 7,654.52 × 1,592.80
  4. Step 4: Simplify right side
    5,102.54x = 12,192,119.46
  5. Step 5: Solve for x
    x = 12,192,119.46/5,102.54
  6. Step 6: Final answer
    x = 2,389.42

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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.