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Finding the Fourth Proportional to 3,943.59, 5,915.30 and 982.02

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Solution

The fourth proportional to 3,943.59, 5,915.30 and 982.02 is: 1,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.59 : 5,915.30 = 982.02 : x
  2. Step 2: Convert to fraction form
    3,943.59/5,915.30 = 982.02/x
  3. Step 3: Cross multiply
    3,943.59x = 5,915.30 × 982.02
  4. Step 4: Simplify right side
    3,943.59x = 5,808,938.00
  5. Step 5: Solve for x
    x = 5,808,938.00/3,943.59
  6. Step 6: Final answer
    x = 1,473.01

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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.