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Finding the Fourth Proportional to 5,980.50, 8,955.12 and 5,040.96

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Solution

The fourth proportional to 5,980.50, 8,955.12 and 5,040.96 is: 7,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.50 : 8,955.12 = 5,040.96 : x
  2. Step 2: Convert to fraction form
    5,980.50/8,955.12 = 5,040.96/x
  3. Step 3: Cross multiply
    5,980.50x = 8,955.12 × 5,040.96
  4. Step 4: Simplify right side
    5,980.50x = 45,142,401.72
  5. Step 5: Solve for x
    x = 45,142,401.72/5,980.50
  6. Step 6: Final answer
    x = 7,548.27

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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.