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Finding the Fourth Proportional to 3,295.96, 4,943.67 and 987.46

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Solution

The fourth proportional to 3,295.96, 4,943.67 and 987.46 is: 1,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.96 : 4,943.67 = 987.46 : x
  2. Step 2: Convert to fraction form
    3,295.96/4,943.67 = 987.46/x
  3. Step 3: Cross multiply
    3,295.96x = 4,943.67 × 987.46
  4. Step 4: Simplify right side
    3,295.96x = 4,881,660.32
  5. Step 5: Solve for x
    x = 4,881,660.32/3,295.96
  6. Step 6: Final answer
    x = 1,481.11

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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.