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Finding the Fourth Proportional to 5,501.46, 8,236.62 and 4,982.40

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Solution

The fourth proportional to 5,501.46, 8,236.62 and 4,982.40 is: 7,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,501.46 : 8,236.62 = 4,982.40 : x
  2. Step 2: Convert to fraction form
    5,501.46/8,236.62 = 4,982.40/x
  3. Step 3: Cross multiply
    5,501.46x = 8,236.62 × 4,982.40
  4. Step 4: Simplify right side
    5,501.46x = 41,038,135.49
  5. Step 5: Solve for x
    x = 41,038,135.49/5,501.46
  6. Step 6: Final answer
    x = 7,459.50

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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.