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Finding the Fourth Proportional to 3,905.76, 5,858.56 and 984

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Solution

The fourth proportional to 3,905.76, 5,858.56 and 984 is: 1,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.76 : 5,858.56 = 984 : x
  2. Step 2: Convert to fraction form
    3,905.76/5,858.56 = 984/x
  3. Step 3: Cross multiply
    3,905.76x = 5,858.56 × 984
  4. Step 4: Simplify right side
    3,905.76x = 5,764,823.04
  5. Step 5: Solve for x
    x = 5,764,823.04/3,905.76
  6. Step 6: Final answer
    x = 1,475.98

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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.