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Finding the Fourth Proportional to 5,259.74, 7,892.78 and 3,041.42

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Solution

The fourth proportional to 5,259.74, 7,892.78 and 3,041.42 is: 4,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.74 : 7,892.78 = 3,041.42 : x
  2. Step 2: Convert to fraction form
    5,259.74/7,892.78 = 3,041.42/x
  3. Step 3: Cross multiply
    5,259.74x = 7,892.78 × 3,041.42
  4. Step 4: Simplify right side
    5,259.74x = 24,005,204.28
  5. Step 5: Solve for x
    x = 24,005,204.28/5,259.74
  6. Step 6: Final answer
    x = 4,563.96

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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.