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Finding the Fourth Proportional to 5,290.04, 7,936.14 and 1,592.12

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Solution

The fourth proportional to 5,290.04, 7,936.14 and 1,592.12 is: 2,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.04 : 7,936.14 = 1,592.12 : x
  2. Step 2: Convert to fraction form
    5,290.04/7,936.14 = 1,592.12/x
  3. Step 3: Cross multiply
    5,290.04x = 7,936.14 × 1,592.12
  4. Step 4: Simplify right side
    5,290.04x = 12,635,247.54
  5. Step 5: Solve for x
    x = 12,635,247.54/5,290.04
  6. Step 6: Final answer
    x = 2,388.50

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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.