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Finding the Fourth Proportional to 5,948.70, 8,924.04 and 2,052.06

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Solution

The fourth proportional to 5,948.70, 8,924.04 and 2,052.06 is: 3,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.70 : 8,924.04 = 2,052.06 : x
  2. Step 2: Convert to fraction form
    5,948.70/8,924.04 = 2,052.06/x
  3. Step 3: Cross multiply
    5,948.70x = 8,924.04 × 2,052.06
  4. Step 4: Simplify right side
    5,948.70x = 18,312,665.52
  5. Step 5: Solve for x
    x = 18,312,665.52/5,948.70
  6. Step 6: Final answer
    x = 3,078.43

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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.