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Finding the Fourth Proportional to 3,579.27, 5,368.47 and 982.41

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Solution

The fourth proportional to 3,579.27, 5,368.47 and 982.41 is: 1,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.27 : 5,368.47 = 982.41 : x
  2. Step 2: Convert to fraction form
    3,579.27/5,368.47 = 982.41/x
  3. Step 3: Cross multiply
    3,579.27x = 5,368.47 × 982.41
  4. Step 4: Simplify right side
    3,579.27x = 5,274,038.61
  5. Step 5: Solve for x
    x = 5,274,038.61/3,579.27
  6. Step 6: Final answer
    x = 1,473.50

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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.