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Finding the Fourth Proportional to 5,238.10, 7,853.86 and 1,948.49

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Solution

The fourth proportional to 5,238.10, 7,853.86 and 1,948.49 is: 2,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.10 : 7,853.86 = 1,948.49 : x
  2. Step 2: Convert to fraction form
    5,238.10/7,853.86 = 1,948.49/x
  3. Step 3: Cross multiply
    5,238.10x = 7,853.86 × 1,948.49
  4. Step 4: Simplify right side
    5,238.10x = 15,303,118.66
  5. Step 5: Solve for x
    x = 15,303,118.66/5,238.10
  6. Step 6: Final answer
    x = 2,921.50

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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.