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Finding the Fourth Proportional to 5,311.48, 7,966.14 and 5,048.03

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Solution

The fourth proportional to 5,311.48, 7,966.14 and 5,048.03 is: 7,571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.48 : 7,966.14 = 5,048.03 : x
  2. Step 2: Convert to fraction form
    5,311.48/7,966.14 = 5,048.03/x
  3. Step 3: Cross multiply
    5,311.48x = 7,966.14 × 5,048.03
  4. Step 4: Simplify right side
    5,311.48x = 40,213,254.94
  5. Step 5: Solve for x
    x = 40,213,254.94/5,311.48
  6. Step 6: Final answer
    x = 7,571.01

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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.